A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)

Answers

Answer 1

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm


Related Questions

please help me 100 points if you help

Answers

Answer:

1) scalene 2) Isosceles 3) Equilateral 4) Scalene

Step-by-step explanation:

1. no sides are the same length

2. two sides are the same length

3. all sides are the same length

4. no sides are the same length

Answer: Hello Luv........

1) scalene 2) Isosceles 3) Equilateral 4) Scalene

Step-by-step explanation: Sorry i copied other.

1. no sides are the same length.

2. two sides are the same length.

3. all sides are the same length.

4. no sides are the same length.

Mark me brainest please. Hope this helps. Anna ♥

I need Answer Immediately!!!!!!!!!

Answers

Answer:

the equation is x-6

pls mark me as brainliest

omg please help me I don't understand

Answers

Answer:

508sq. cm

Step-by-step explanation:

surface area of a prism = 2(lw + wh + lh)

For the larger prism

Surface area = 2(2*10 + 2 * 12 * 10*12)

Surface area = 2(20+24+120)

Surface area = 2(164)

Surface area = 328sq.cm

For the smaller prism

Surface area = 2(3*6 + 3 * 8 * 6*8)

Surface area = 2(18+24+48)

Surface area = 2(90)

Surface area = 180 sq.cm

Surface area of the figure = 328 + 180

Surface area of the figure = 508sq. cm

At the aquarium, posters of sharks cost $2 and posters of jellyfish cost $6. Mr. Benson spent $64 to buy 12 posters. How many of each type of poster did Mr. Benson buy?

Answers

Answer:

8

Step-by-step explanation:

Step 1: Add the cost of the posters together

Shark: 1 = $2

Jellyfish: 1 = $6

2 + 6 = 8

Step 2: Divide the result by the total amount Mr. Benson spent

64 ÷ 8

[tex]= \frac{64}{8}[/tex]

[tex]= 8[/tex]

Therefore, Mr. Benson bought 8 of each type of poster.

Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.

Answers

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

help, don't guess. tyyyy

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.

Answers

Answer:

do you need a graph of it or it just multiplied out step by step?

Answer:

3x^4-24x^3+72x^2-96x+48

Step-by-step explanation:

1. (x-2)^4

=(x-2)(x-2)(x-2)(x-2)

=x^4-8x^3+24x^2-32x+16

2. 3(x^4-8x^3+24x^2-32x+16)

=3x^4-24x^3+72x^2-96x+48

Andrea has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back?

Answers

Answer:

Time spend in walking = 3.2 hour = 3¹/₅ hour

Step-by-step explanation:

Given:

Total time taken = 4 hour

Speed when run = 8 mph

Speed when walk = 2 mph

Find:

Time spend in walking

Computtaion:

We know that;

Time = Distance / Speed

Assume;

One side distance = D

So,

D/8 + D/2 = 4

2D + 8D = 64

10D = 64

D = 6.4

So,

One side distance = 6.4 mile

Time spend in walking = One side distance / Speed when walk

Time spend in walking = 6.4 / 2

Time spend in walking = 3.2 hour = 3¹/₅ hour

1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.

Answers

Answer:

depends on the cases. they all have different uses

which is equivalent to 2/9

Answers

Answer:

4/18 is equivalent to 2/9

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ ​ 8+6x x+4 10 ​ 4x−3 ​ , , , ​ x<−7 −7≤x<−5 x≥−5 ​

Answers

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

Find the volume round to the nearest hundredth

Answers

Answer:

333.67

Step-by-step explanation:

trust

Somebody please help it would be much appreciated.

Answers

Answer:

25

Step-by-step explanation:

as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not

Answer:

Step-by-step explanation:

Which operation would be last when solving the inequality -5x + 9 < -6

Answers

Answer: divding both sides by -5

Step-by-step explanation:

Subtract 9 from both sides.

−5x+9−9<−6−9

−5x<−15

Step 2: Divide both sides by -5.

−5x/−5<−15/−5

x>3

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

mean, median, mode, and range
23, 24, 24, 25, 26, 27, 28, 29, 30

Answers

Mean- 26.222222222222

Median- 26

Mode- 24

Range- 7

Hope this helped :D

Two employees of Frontier Fence Company can install 100 feet of fence in two days. Help a. What is the unit rate for one employee? b. Write a proportion to show the relationship between this rate and 150 feet of fence. c. At this same rate, how many employees are needed to install 150 feet of fence in one day? -2020 CPM Educational Program. All rights reserved.​

Answers

Answer:25/day

Step-by-step explanation:

Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.

25, 29, 58, 27, 23, 26, 27, 25, 28, 24

Answers

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

Barbara says that the expression
6 - 3y + 4 + 2y is equivalent to the expression
5y + 10. Is Barbara correct?

Answers

Answer:

No she is wrong.

Step-by-step explanation:

Let's simplify step-by-step.

6−3y+4+2y

=6+−3y+4+2y

Combine Like Terms:

=6+−3y+4+2y

=(−3y+2y)+(6+4)

=−y+10

Answer:

=−y+10

Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)

Answers

Answer:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

What is the slope of the line y = 6x + 3?
3
-6
6
-3

Answers

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6

An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.

Answers

I think the answer is E

What is the area of this isosceles trapezoid 96 60 48 72

Answers

Step-by-step explanation:

s3d4drks3ks2srddex5v5

What exactly does it mean when a question says "consecutive integers"?

Answers

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

A drawer contains 2 Red Socks, 7 White Socks, and 9 blue sock Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both red?​

Answers

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153

? x 26= 17 7/8.
By: Britney

Answers

17 7/8 divided by 26=0.6875
0.6875 times 26=17.875 or 17 7/8

can someone please help me with circle similarity?

Answers

Answer: were is your qustion at

plz make brainly

Step-by-step explanation:

I need help ASAP
A scatter plot is shown
What type of association does the graph show between x and y?

A Linear positive association

B Nonlinear positive association

C Linear negative association

D Nonlinear negative association

Answers

The answer is c because The higher the number the lower the dock goes which means it’s negative and it makes a line

Determine a simplified expression to represent the area of shaded region within the figure below

Answers

Answer:

[tex](5x-3)^{2}[/tex] - (3x+1)(2x-1)

Step-by-step explanation:

Determine the area of the large square: (5x - 3)(5x - 3)

Determine the area of the small rectangle: (3x + 1)(2x -1)

Subtract the area of the small rectangle from the area of the large square to get the area of the shaded region.

Plz help fast will mark brainliest!!!

Answers

The answer :9.1×10 ^3

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