What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters

What Is The Volume Of This Sphere?Use A = 3.14 And Round Your Answer To The Nearest Hundredth.8 Mmcubic

Answers

Answer 1

Answer:

Volume = 2,143.57 mm³

Step-by-step explanation:

Given:

radius (r) = 8 mm

π = 3.14

Required:

Volume of the sphere

Solution:

Volume of the sphere = ⁴/3πr³

Plug in the values

Volume = ⁴/3 × 3.14 × 8³

= ⁴/3 × 3.14 × 512

= 6,430.72/3

Volume = 2,143.57333

Volume = 2,143.57 mm³ (nearest hundredth)


Related Questions

Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",

Answers

Answer:

B = 49.1°

C = 93.9°

c = 77.9

Step-by-step explanation:

Given:

a = 47, b = 59, and A = 37°

Required:

B, C, and c

Solution:

✔️To find B, apply the law of sines:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]

Cross multiply

[tex] 47*sin(B) = sin(37)*59 [/tex]

Divide both sides by 47

[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]

[tex] sin(B) = 0.7555 [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

B = 49.0690779° ≈ 49.1° (nearest tenth)

✔️C = 180° - (A + B) (sum of triangle)

C = 180° - (37° + 49.1°)

C = 93.9°

✔️To find c, apply the law of sines:

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

Plug in the values

[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]

Cross multiply

[tex] c*sin(49.1) = sin(93.9)*59 [/tex]

Divide both sides by sin(49.1)

[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]

c = 77.8766982

c ≈ 77.9 (nearest tenth)

What is the approximate volume of a cone with a height of 12 inches and a diameter of 10 inches?
Use 3.14 for 7 and round the answer to the nearest whole number.

Answers

Answer:

314

Step-by-step explanation:

V=πr^2(h/3)

diameter is 10 so /2 and you get radius

plug values in and solve for x

Answer:

314

yea im sure thats the answear

If the gradient of the tangent to
[tex]y = \sqrt{x} [/tex]
is
[tex] \frac{1}{6} [/tex]
at point A, find the coordinates of A.​

Answers

Answer:

Point A(9, 3)

General Formulas and Concepts:

Pre-Algebra  

Order of Operations: BPEMDAS  

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties  

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I  

Coordinates (x, y) Functions Function Notation Terms/Coefficients Anything to the 0th power is 1Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]  

Calculus  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \sqrt{x}[/tex]

[tex]\displaystyle y' = \frac{1}{6}[/tex]

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]:                                   [tex]\displaystyle y = x^{\frac{1}{2}}[/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]:                                          [tex]\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]:                                 [tex]\displaystyle y' = \frac{1}{2\sqrt{x}}[/tex]

Step 3: Solve

Find coordinates of A.

x-coordinate

Substitute in y' [Derivative]:                                                                             [tex]\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides:                      [tex]\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}[/tex][Multiplication Property of Equality] Cross-multiply:                                      [tex]\displaystyle \sqrt{x} = 3[/tex][Equality Property] Square both sides:                                                           [tex]\displaystyle x = 9[/tex]

y-coordinate

Substitute in x [Function]:                                                                                [tex]\displaystyle y = \sqrt{9}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle y = 3[/tex]

∴ Coordinates of A is (9, 3).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

The ratio of two sums of money is 5:7 if the smaller amount is $250, what is the largest amount?

Answers

Answer:

$350

Step-by-step explanation:

[tex]\frac{250}{y} :\frac{5}{7}[/tex]

y · 5 = 250 · 7

5y = 1750

5y ÷ 5 = 1750 ÷ 5

y = 350

Answer:

$350

Step-by-step explanation:

5 is to 250 as 7 is to 'x'

5/250 = 7/x

cross-multiply:

5x = 1750

x = 350

Evaluate Vb2 - 4ac when a = -2, b = 8 and c = 1/2 Write your answer in simplest form and in decimal form rounded to the
nearest hundredth
Simplest form:
Decimal form:

Answers

Nauru jejejeje r rhrhhr ejejejr rjrjrjr th

plz plz answer this 10pts

Answers

Answer:

PART A

$4.25×2.9$12.325

PART B

cost of milk chocolate=$5.15×1.6$8.24

total cost =12.325+8.24

$20.565

hope it helps

stay safe healthy and happy.

Answer:

Part A: $12.325

Part B: $20.565

Step-by-step explanation:

PART A:

To find the answer, we multiply 2.9 and 4.25 together: 2.9 * 4.25 = 12.325

The cost of 2.9 pounds of dark chocolate is $12.325

PART B:

To find the answer, we multiply 1.6 and 5.15 together: 1.6 * 5.15 = 8.24

After that, to find the cost of the dark and milk chocolate together, we add up the two answers: 12.325 + 8.24 = 20.565

The total cost of the milk and dark chocolate is $20.565

Note: You might need to round it up. In this case, Part A is $12.33 and Part B is $20.57

David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?

Answers

Answer:

42 < x less than or equal to 57

Step-by-step explanation:

The inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations

Now it is given that,

Lower limit of height must be greater than 42 inches

Upper limit  of height must be less than 57 inches

If h is the height used for model.

Thus, h < 57 inches

and, h > 42 inches

Therefore the inequality model will be,

57 > h > 42

Thus, the inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

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WILL MARK BRAINLIEST!!! Plz help me with my math!

y varies directly with x. If y = -4 when x = 2, find y when x = -6.

Answers

Answer:

y = 12

Step-by-step explanation:

y = kx

-4 = k * 2

k = -4/2 = -2

y = -2x

y = -2 * (-6)

y = 12

Fahad is 140 cm tall. Fareed is 1090 mm tall.
Who is taller? How much taller?

Answers

Answer:

Fahad is taller with 31 centimeters

Step-by-step explanation:

1090mm=109cm

Fahad is taller than Fareed by 31 centimeters.

1090 mm = 109 cm

140 cm - 109 cm = 31 cm

Hope this helps; please mark brainliest!

Have an amazing day!

Gabe purchased a razor for $9.99, a refill pack of razor blades forthe
regular price of $12.99, shaving cream for $2.99, and lotion for$5.55. He
had a $4.00 coupon for the razor, a $0.75 coupon for the shaving cream,
and a $2.00 manufacturer's rebate form for the refill. Determine the final
price.
A. $ 27.47
B. $ 27.44
C. $ 24,47
D. $ 24.77

Answers

Answer:

24.77

Step-by-step explanation:

The final without coupons is 31.52, but because you use 4.75 in coupons and 2.00 in manufacturer's rebate, it drops down to 24.77.

Hope this helps!


Above are two different models of the same rectangle. If the length of the model on the top is 6 cm, what is the length of the model on
the bottom?
A. 15 cm
В. 12cm
C. 21cm
D.36cm

Answers

Answer:

D.36cm

Step-by-step explanation:

If the top rectangle have 6 cm, it means 6×16=108 ft

If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:

108÷3= 36 cm

Find the selling price
Cost of the computer; $1,850.00
Markup: 75%

Answers

Answer:

2466.67

Step-by-step explanation:

1850/.75=2466.67

The cost of selling price of the computer is, $3,237.5

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Cost of the computer = $1,850.00

Markup = 75%

Now,

The cost of selling price of the computer is,

⇒ $1,850 + 75% of $1,850

⇒ $1850 + 75 /100 × $1850

⇒ $1850 + $1387.5

⇒ $3,237.5

Learn more about the percent visit:

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Bill had 5 tests over the marking period. He knows he is receiving a 85 on his report card. He was looking back at his test and only has four grades: 80, 90, 100, 85. What was the score of the missing test? Please no silly answers or links ill report you.

Answers

Answer:

70

Step-by-step explanation:

(Not the most streamlined way but.)

Knowing that if he had 5 tests, and a mark of 85, we can determine the total average grade Bill received. 85*5=425

Then subtract the known grades

425-(90+85+100+80)=x

425-(355)=x

70=x

Bill would have scored 70 on that 5th test

1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)

Answers

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

How do you find the unknown length for a special right angel

Answers

Answer: Pythagorean theroem

Step-by-step explanation:

The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle

BRAINLY PEOPLE HELP!!!

Answers

Answer:

A)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Which is greater 6 cups or 4 quarts

Answers

Answer:

not sure but 4 quarts i think

Answer:

4 quarts is greater because it is equal to 16 cups

3/4 x 2/5 x 4/3 please helpppppppppppppppppppp

Answers

Answer:

24/60 or 0.4

Step-by-step explanation:

3/4×2/5=6/20

4/3×6/20=24/60

24/60

ILL GIVE YOU BRAINLIEST!! 33 POINTS!!!


(ONLY IF YOU GET IT CORRECT)

Answers

Answer:

80 ft

Step-by-step explanation:

the length of an arc is equal to the degree the arc makes

Answer:

A. 28π/9 ft

Step-by-step explanation:

Arc length is:

2πr*80°/360° ft = 4π*7/9 ft =28π/9 ft

Correct choice is A

There is a hole that is 6ft deep and has a diameter of 5t how much dirt is in the hole?

Answers

117.81 ft

I used the cylinder volume formula
Hope this helps!!!

Lily is 90 cm tall. If Anika is 3/5 of the height of Lily, and Sadaf is 4/3 of the height of Anika, how tall is Sadaf?

Answers

Sadaf is 120cm tall I believe

Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds

Answers

Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

Find the length of the following sides:
DF
AB
EF

Answers

Answer:

DF) = 10

AB) = 5

EF) = 12.5

Step-by-step explanation:

For length AB

[tex]3^{2} +4^{2} = AB^{2}[/tex]   -> 9+16=[tex]\sqrt{25}[/tex] -> 5

For length DF

We know that AD is 2.5 times smaller than DE (7.5 / 3)

Now we can use that to determine length DF

BD = 4, DF = 4*2.5 = 10

using the Pythagorean theorem, you can find EF:

[tex]DE^{2} +DF^{2} =EF^{2}[/tex]

[tex]7.5^{2}+ 10^{2} =12.5[/tex]


Josh orders 12 soccer jerseys for his team, including his coach. He pays a total
of R594,60 for the jerseys. What did each jersey cost?​

Answers

Answer:

4955

Step-by-step explanation:

soccer jerseys--> 12

total--> R 59460

= 59460 divided by 12

= 4955

Ans: Each jersey costs R 4955.

thenks and mark me brainliestt pls :))

We had a surprise party for Grandmama she was very surprised. Find the error in the sentence

Answers

Answer:

There needs to be a (.) or an (;)

Step-by-step explanation:

Drag a company name into each box to show the total cost from least to greatest.​

Answers

Answer:

Company A:

$3  each6% for shipping150*3*1.06 = $477 total cost

Company B:

$3.10 each4% for shipping150*3.1*1.04 = $483.60 total cost

Company C:

$3.20 eachNo shipping charge150*3.2 = $480 total cost

Least cost         |        Medium cost     |     Greatest cost

Company A       |          Company C     |      Company B


Who could help me please and thank you

Only answer if you know how to do the equation

Answers

Let's find the slope of the line passing through it :

[tex] \boxed{ slope = \frac{y_2-y_1}{ x_2- x_1} }[/tex]

[tex] \dfrac{ -5 - ( - 6)}{0 - ( - 5)} [/tex]

[tex] \dfrac{1}{5} [/tex]

Now, we know, equation of a line is :

[tex]\longrightarrow y = mx + b[/tex]

where,

m represents the slope

Therefore,

[tex]\longrightarrow \: y = \dfrac{1}{5} x + b[/tex]

let's put the value of x and y from the first coordinates .

[tex]y = \dfrac{x}{5} + b[/tex]

[tex] - 5 = \dfrac{0}{5} + b[/tex]

[tex]b = - 5[/tex]

Hence, we got the equation of line as :

[tex]y = \dfrac{x}{5} - 5[/tex]

or

[tex]5y = x - 25[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

6 + y= -8 ????????????????

Answers

Answer:

y = -14

Step-by-step explanation:

6 + y = -8

Subtract 6 from both sides to get y by itself.

y = -14.

Proof:

6 + y = -8

Substitute the variable.

6 + (-14) = -8

Add the negative/Subtract.

-8 = -8.

Answer:

y=−14

Step-by-step explanation:

Let's solve your equation step-by-step.

6+y=−8

Step 1: Simplify both sides of the equation.

y+6=−8

Step 2: Subtract 6 from both sides.

y+6−6=−8−6

y=−14

brainliest please?

If we remove all of the jacks, queens and kings from a 52-card deck, how many unique three card hand combinations can we create?
59,280
44,200
132,600
19,760

Answers

The answer is 59,280

The no. of unique card combinations we can create is 59280

What is permutation and combination?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.

There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.

So, by using fundamental principle of counting=40x39x38                                                      =59280

Therefore, the no. of unique card combinations we can create is 59280

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The Kitchen committee purchased 76 boxes of cookies for Vacation Bible School,
Monday, 14 2/3 boxes were used; Tuesday 15 boxes; and Wednesday 13 3/4 boxes.
How many boxes were used during the three days?
(Write the operation and the answer)

Answers

269 I think :) not sure
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