FINDING THE VOLUME OF A CYLINDER WORKSHEET

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

1. Answer :

Step 1 :

Write the formula to find volume of a cylinder.

V = πr²h cubic units

Step 2 :

Substitute the given measures.

V ≈ 3.14 · 3² · 10

Simplify.

V ≈ 3.14 · 9 · 10

V ≈ 282.6

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

2. Answer :

Step 1 :

Write the formula to find volume of a cylinder.

V = πr²h 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 :

Substitute π ≈ 3.14, r = 3.2 and h = 13 in (1).

V ≈ 3.14 · (3.2)² · 13

Simplify.

V ≈ 3.14 · 10.24 · 13

V ≈ 418

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

3. Answer :

Step 1 :

Write the formula to find volume of a cylinder.

V = πr²h 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 :

Substitute π ≈ 3.14, r = 4 and h = 12 in (1).

V ≈ 3.14 · 4² · 12

Simplify.

V ≈ 3.14 · 16 · 12

V ≈ 602.9

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

4. Answer :

Step 1 :

Write the formula to find volume of a cylinder.

V = πr²h 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 :

Substitute π ≈ 3.14, r = 5 and h = 6 in (1).

V ≈ 3.14 · 5² · 6

Simplify.

V ≈ 3.14 · 25 · 6

V ≈ 471

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

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