# FINDING THE VOLUME OF A CYLINDER WORKSHEET

## About "Finding the volume of a cylinder worksheet"

Finding the volume of a cylinder worksheet :

Worksheet given in this section is much useful to the students who would like to practice problems on volume of a cylinder.

## Finding the volume of a cylinder worksheet - Problems

1. Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

2. Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

3. Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

4. Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

## Finding the volume of a cylinder worksheet - Solution

Problem 1 :

Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

Solution :

Step 1 :

Write the formula to find volume of a cylinder

V  =  r²h cubic units

Step 2 :

Substitute the given measures.

≈  3.14 · 3² · 10

Simplify.

≈  3.14 · 9 · 10

≈  282.6

Hence, the volume of the given cylinder is about 282.6 cubic inches.

Problem 2 :

Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

Solution :

Step 1 :

Write the formula to find volume of a cylinder

V  =  r²h cubic units ---- (1)

Step 2 :

To find the volume, we need the radius of the cylinder. But, the diameter is given, that is 6.4 cm. So, find the radius.

r  =  diameter / 2

r  =  6.4/2

r  =  3.2

Step 3 :

The given cylinder is in horizontal position and its length is 13 cm. If the cylinder is in vertical position, the length will become height. So, the height is

h  =  13

Step 4 :

Plug ∏ ≈  3.14, r = 3.2 and h = 13 in (1).

≈  3.14 · 3.2² · 13

Simplify.

≈  3.14 · 10.24 · 13

≈  418

Hence, the volume of the given cylinder is about 418 cubic cm.

Problem 3 :

Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

Solution :

Step 1 :

Write the formula to find volume of a cylinder

V  =  r²h cubic units ---- (1)

Step 2 :

The given cylinder is in horizontal position and its length is 12 ft. If the cylinder is in vertical position, the length will become height. So, the height is

h  =  12

Step 3 :

Plug ∏ ≈  3.14, r = 4 and h = 12 in (1).

≈  3.14 · 4² · 12

Simplify.

≈  3.14 · 16 · 12

≈  602.9

Hence, the volume of the given cylinder is about 602.9 cubic feet.

Problem 4 :

Find the volume of the cylinder given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

Solution :

Step 1 :

Write the formula to find volume of a cylinder

V  =  r²h cubic units ---- (1)

Step 2 :

To find the volume, we need the radius of the cylinder. But, the diameter is given, that is 10 cm. So, find the radius.

r  =  diameter / 2

r  =  10/2

r  =  5

Step 2 :

Plug ∏ ≈  3.14, r = 5 and h = 6 in (1).

≈  3.14 · 5² · 6

Simplify.

≈  3.14 · 25 · 6

≈  471

Hence, the volume of the given cylinder is about 471 cubic inches.

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