Volume of cylinders, spheres, and cones word problems
A graduated cylinder is filled with 367 cm3 of liquid. The liquid is poured into a different cylinder that has a
radius of 3 cm.
What will the height of the liquid be in the new cylinder?
cm

Answers

Answer 1
The problem is asking for the height of the fluid using the following information:

Volume of fluid
=
V
=
36
π
cm
3
Radius of new cylinder
=
r
=
3
cm


To start the solution, solve for the height
h
in the formula for the volume of a cylinder:

V
=
π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h
=
V
π
r
2
V =π
r
2
h
π
r
2
h
π
r
2
=
V
π
r
2
h =
V
π
r
2


Substituting the values of the volume and the radius, the height of the fluid is:

h
=
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=
4
π
cm
=
12.5663706144

12.6
cm
h =
V
π
r
2
=
36
π
cm
3
(
3
cm
)
2
=
(
4
)
(
9
)
π
cm
3
(
9
)
cm
2
=4π cm =12.5663706144≈12.6 cm

Thus, the fluid reaches up to
12.6
cm
12.6
cm
in the new cylinder.

Related Questions

PLS HELP ASAP a wheel makes 13 revolutions to cover a distance of 65 m find the radius of the wheel

Answers

Revolutions=13Distance=65m

Circumference:-

65/135m

Radius:-

2πr=5πr=2.5r=2.5/πr=0.797m

Answer:

radius = 0.8 m (nearest tenth)

Step-by-step explanation:

One revolution of the wheel means one complete turn.  Therefore, the distance of one revolution is the circumference of the wheel.

First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:

[tex]\sf circumference=\dfrac{65}{13}=5\:m[/tex]

Formula

[tex]\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}[/tex]

[tex]\implies \sf radius=\dfrac{circumference}{2 \pi}[/tex]

Substituting the found value of the circumference into the formula to find the radius:

[tex]\implies \sf radius=\dfrac{5}{2 \pi}=0.8\:m\:(nearest\:tenth)[/tex]

The volume of a square pyramid with a height of 12m is 100 m find the Length of the square base.

Answers

Volume of square Pyramid = a^2 * h/3
If we rearrange that equation to give a (length of square base)

a = (sqrt(3)* sqrt(V))/sqrt(h)
a = (sqrt(3)* sqrt(100))/sqrt(12)
a = 5m

Find the length of the arc intercepted on the unit circle by the following central angle. 0=5π
A. 5π

B. 5/2π

C. 4π

D. 10π

Answers

well, since arc's length is s = rθ where θ is in radians, and in the Unit Circle r = 1 and we also know that θ = 5π radians, then

s = (1)(5π)

s = 5π.

The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?

Answers

Answer:

C ≈81.64 inches

Step-by-step explanation:

Formula : C ≈ πd

Where:

C = circumference

π ≈ 3.14 {About}

d = diameter

As Given :

Wheel of a bike has a diameter of 26 inches.

Solution:

Note - Given that diameter = 26

π ≈ 3.14 {About}

C ≈ 3.14 (26)

C ≈ 81.64

Therefore the circumference of the wheel is 81.64 inches

Kavinsky

Linear Sequences
Please help with this question
Put either a,b,c,d
It is on linear sequences
35 points up for grabs

Answers

Answer:

please help the question

Step-by-step explanation:

Surface Area:Question 6
What is the total surface area of the figure shown?
Select one:
96 square feet
60 square feet
0 72 square feet
36 square feet

Answers

[tex]\qquad\huge\underline{{\sf Answer}} ♨[/tex]

Total surface area :

[tex]\qquad \sf  \dashrightarrow \:2(lw + wh + lh)[/tex]

[ l = Length, w = width, h = height ]

[tex]\qquad \sf  \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \{12 + 6+ 18\}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (36)[/tex]

[tex]\qquad \sf  \dashrightarrow \:72 \: ft {}^{2} [/tex]

Do number 2 please. Please bots don’t answer! I just trying to get help :(

Answers

Answer:

no 2. cube a' will be smaller because it was multiplied by a fraction

no 3. c

Use the picture I provided to help me answer the question.

Answers

B


Cuz there is 9 flutes and 4 violas and 9 is greater than 4

65, 46, 78, 3, 87, 12, 99, 38, 71, 38

what is the median?

Answers

The answer would be 42.
Median-42

Answer:

46

Step-by-step explanation:

Just put in least to greatest then you would scratch each number from left to right till you got to the middle number (median)

pls mark brainless

is 627 divisible by 3

Answers

Answer:

yes.

Step-by-step explanation:

If you divide 627 by 3, you get 209 which is a whole number.

Hope this helped! Have a nice day!
Please give Brainliest when you can!

-Jaron

Answer:

technically speaking, yes. but if you don't want any remainders, (or decimals) then no.

Step-by-step explanation:

7 isnt divisable by anything, unless you have remanders or decimals, fractions ext. so yeah.

A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answers

The approximate surface area of the balloon is 199 cm².

The approximate volume of the balloon is 262 cm³

What is the surface area and the volume of the balloon?

Radius of the balloon = circumference / 6.2832

25 / 6.2832 = 3.98cm

Surface area = 4πr²

4 x 22/7 x 3.97² = 199 cm²

Volume =  4/3πr³

4/3 x 22/7 x 3.97³ = 262.20 cm³

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

A car traveled 1010 miles at an average speed of 3030 miles per hour
and then traveled the next 1010 miles at an average speed of 5050 miles
per hour. What was the average speed, in miles per hour, of the car for the
2020 miles?

Answers

The average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

Average speed

Average speed v = d/t where

d = total distance and t = total time

Making t subject of the formula, we have

t = d/v

Time to cover first 10 miles

Now when the car travels 10 miles at an average speed of 30 miles per hour,

d = 10 mi and v = 30 mph.

So, t = d/v

= 10/30

= 1/3 h

Time to cover next 10 miles

Also, when the car travels the next 10 miles at an average speed of 50 miles per hour,

d' = 10 mi and v' = 50 mph.

So, t' = d'/v'

= 10/50

= 1/5 h

Time to cover 20 miles

The total time for the 20 miles is T = t + t'

= 1/3 h + 1/5 h

= (5 + 3)/15 h

= 8/15 h

Average speed for 20 miles

So, the average speed for the 20 miles is v = D/T where

D = 20 miles and T = 8/15 h.

So, v = D/T

v = 20 mi ÷ 8/15 h

v = 20 × 15 mi/8 h

v = 2.5 × 15 mi/h

v = 37.5 mph

So, the average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

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Determine the equation of the circle with center (-7,7)(−7,7) containing the point (-2,-5)(−2,−5)

Answers

Equation of a Circle

Circular equations are often organized in the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is where the circle is centered[tex]r[/tex] is the radius

To find the equation of a circle given its center and a point:

Plug the center into the general equation as (h,k)Plug the given point into the general equation as (x,y)Solve for r²Plug (h,k) and r back into the original equation

Solving the Question

We're given:

Center: (-7,7)Point: (-2,-5)

Plug the center into the general equation:

[tex](x-(-7))^2+(y-7)^2=r^2\\(x+7)^2+(y-7)^2=r^2[/tex]

Plug in the given point (-2,-5) and find r²:

[tex]((-2)+7)^2+((-5)-7)^2=r^2\\(5)^2+(-12)^2=r^2\\25+144=r^2\\r^2=169[/tex]

Plug the center and radius back into the original equation:

[tex](x-h)^2+(y-k)^2=169\\(x+7)^2+(y-7)^2=169[/tex]

Answer

[tex](x+7)^2+(y-7)^2=169[/tex]

65 brainleiest! Can someone help?!

Answers

Answer:

m∡EFG = 139°, and m∡ IFH = 49°

Step-by-step explanation:

We know that vertical angles are congruent so we can say that

∡EFG ≅∡DFH and that ∡EFD≅∡GFH

Congruent angles have the same measure therefore

∡EFG = ∡DFH  = 6x+25 and

∡EFD = ∡GFH = 2x+3

Use that all those angles add up to 360° to find x

∡EFG +∡GFH +∡DFH + ∡EFD = 360°, substitute the given measures

6x+25 +2x+3 + 6x+25 +2x+ 3 = 360 , combine like terms

16x + 56 = 360, subtract 56 from both sides

16x = 304, divide both sides by 16

x = 19

m∡EFG = 6x +25 , substitute x with 19 and calculate

m∡EFG = 6·19 +25

m∡EFG = 139°

m∡ IFH = 90°- m∡GFH, substitute m∡GFH with 2x+3

m∡ IFH = 90°- (2x +3), substitute x with 19

m∡ IFH = 90°- (2·19 +3)

m∡ IFH = 90°- 41

m∡ IFH = 49°

How tall is this building?

Answers

Answer:

The building is 86.6 m tall.

Step-by-step explanation:

Coh Cah Toa

Coh: sin(theta) = Opp/Hyp

Cah: cos(theta) = Adj/Hyp

Toa: tan(theta) = Opp/Adj

Using Toa.

tan(theta) = Opp/Adj

tan(60°) = x/50

x = 50 * tan(60°)

x = 50 * √(3)

x ≈ 86.60254038

x = 86.6 m

In a sequence of numbers, a5 = 30, a6 = 34, a7 = 38, a8 = 42, and a9 = 46.

Which equation can be used to find the nth term of the sequence?

A.) a,n = 4n + 10
B.) a,n = 4n + 30
C.) a,n = 6n + 30
D.) a,n = 6n

Answers

Answer:

A.)

Step-by-step explanation:

Try each choice to see which one works.

A.)

a_n = 4n + 10

a_5 = 4(5) + 10 = 30

a_6 = 4(6) + 10 = 34

a_7 = 4(7) + 10 = 38

Answer: A.)

5. Cole worked for a concrete company last weekend. On Saturday, his gross income was $350
and his net income was $307.05. On Sunday, his gross income was $280 and his net income
was $246.35. What amount did Cole pay in payroll tax last weekend?

Answers

The answer is Coles pay $76.6o in payroll tax last weekend.

What is the area of the shape?

Answers

Answer:12 units^2

Step-by-step explanation:

2*2=4

2*2*1/2=2

2*6*1/2=6

4+2+6=12

12 units^2

Which of the following expressions are equivalent to -2(5 – 3)?
Choose all answers that apply:
A
-10 - 6
B
-10 + 6
None of the above
Peno
Sos

Answers

Answer:

It's B

-10 + 6

Step-by-step explanation:

Here, we gotta use the distributive property.

the -2 will distribute to the 5, which will make the -10

then, the -2 will also distribute to the -3 (the minus is the negative) which will make the 6

So, that should give you the -10 + 6, which is B

hope this helped :)

Answer:

[tex]\boxed{\sf{B.-10+6}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property:

→ A(B+C)=AB+AC

→ -2(5-3)

Multiply.

→ -2*5=-10

→ -2*3=-6

Rewrite the problem down.

→ = -10+6

Therefore, the correct answer is B. -10+6.

I hope this helps you! Let me know if my answer is wrong or not.

What is the slope of the line through the points (-2, -1) and (4, 3)?


2/5

5/2

3/2

2/3

Answers

Answer:

2/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3- -1)/ ( 4 - -2)

   = ( 3+1)/ ( 4+2)

   = 4/6

   = 2/3

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]


[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]

[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Xaviera went out to play soccer at 5:31 and returned home at 7:00 how long was she playing soccer

Answers

Step-by-step explanation:

she played for about 1 hour 29 minutes

Answer:

1 hour and 29 minutes or 89 minutes

For each ordered pair determine whether it is a solution to Y= -8

Ordered pairs:
(-8,2)
(1,9)
(4,-8)
(0,-3)

Answers

Answer:

(4,-8) is the only correct solution because it is the only one to have a Y value of -8

PLS HELP im actually cryin i stress over math a lot....

Answers

Answer:

4 mg

Step-by-step explanation:

Plug in everything that they have given for the equation

since x is the number of half-lives, and iodine-131 has a half-life of 8, and the question is asking for how much there will be left after 32 days, 8 * 4 = 32, so x will be 4.

y = 64(0.5)^4

and solve

y = 4

so there will be 4 mg of iodine-131 left after 32 days.

Answer:

4 mg

Step-by-step explanation:

half- life is 8 days then 32 ÷ 8 = 4 half- lives , then

y = 64 [tex](0.5)^{4}[/tex] = 64 × 0.0625 = 4 mg left

What is p(x)? I need help ASAP

Answers

Answer:

Option C

Step-by-step explanation:

you just subtract the functions from each other.

hence,

15x - 7x - 20

p(x) = 8x - 20

Consider the following incomplete deposit ticket: what was art’s total deposit? a. $1,701.23 b. $1,545.83 c. $1,856.63 d. $1516.35

Answers

Total deposite is the resultant amount we deposite. The total deposite that Art made is given by: Option B: $1,545.83

How to get the resultant deposited amount?

Resultant deposited amount = Deposited amount - The amount deducted.

We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.

Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.

The missing image of the deposite ticket is attached below.

From that image, we can see that:

Deposited amounts were:  13.50, 942.06, 75.53, 670.14 all in dollars.Deducted amount was:  155.40 dollars

Thus, the net deposited amount is:

Net deposite = deposited amounts - deduced amounts

Net deposite = 13.50 + 942.06 + 75.53 + 670.14 -155.40

Net deposite = 1545.83 (in dollars).

Thus, the total deposite that Art made is given by: Option B: $1,545.83

Learn more about total deposite here:

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Answer:

B

Step-by-step explanation:

If you can help me with this please and thank you

Answers

Answer:

Nnnnnnnnnnnn

Step-by-step explanation:

L bozo

i need help with this quick pls , please solve 5a​

Answers

Answer:

Step-by-step explanation:

If you use de morgan's laws to write out [tex]-(PvQ)[/tex], it returns -P ^ -Q

And if ^ means 'and', it is showing that (P and Q) and (-P and -Q) which isn't possible since there can't be something that is both true and false. Therefore, it is a contradiction since something can not be true a nd false at the same time.

can someone help me with this question

Answers

Answer:

(4,2)

Step-by-step explanation:

It's parallel, so all of them have to be on the same way.

The last point has to be at the same distance from the one right above it

Answer:

C. (4, 2)

Step-by-step explanation:

(x, y)

if you put the last dot on (4, 2) and connected all of them, it would create a perfect parallelogram

if a-1/a=5 then find the value of a square +1/asquare​

Answers

Answer:

3

Step-by-step explanation:

Calculating a

a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4

Substitute in the 2nd equation

a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23

Compare using >, < or =
7 x 5/4 _ 7
How do you know your answer is correct?
Choose 1 answer:
A. Because we are multiplying 7 by a fraction that is less than 1.
B. Because we are multiplying 7 by a fraction that is equal to 1
C. Because we are multiplying 7 by a fraction that is greater than 1.

Answers

I think the answer will be:

C but i not that sure

Answer:

C. Because we are multiplying 7 by a fraction that is greater than 1.

Step-by-step explanation:

- Sumin -

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