FINDING THE VOLUME OF A CONE WORKSHEET

Question 1-4 : Find the volume of cone shown below. Round your answer to the nearest tenth if necessary. Use the approximate of value of π, that is 3.14.

Question 1 :

Question 2 :

Question 3 :

Question 4 :

1. Answer :

Step 1 :

Write the formula to find volume of a cone.

V = 1/3 · πr²h

Step 2 :

Substitute the given measures.

V ≈ 1/3 · 3.14 · 2² · 8

Simplify.

V ≈ 1/3 · 3.14 · 4 · 8

V ≈ 33.5

So, the volume of the given cone is about 33.5 cubic inches.

2. Answer :

Step 1 :

Write the formula to find volume of a cone.

V = 1/3 · πr²h -----(1)

Step 2 :

To find the volume, we need the radius of the cone. But, the diameter is given, that is 8 ft. So, find the radius.

r = diameter/2

r = 8/2

r = 4

Step 3 :

Substitute π ≈ 3.14, r = 4 and h = 9 in (1).

V ≈ 1/3 · 3.14 · 4² · 9

Simplify.

V ≈ 1/3 · 3.14 · 16 · 9

V ≈ 150.7

So, the volume of the given cone is about 150.7 cubic feet.

3. Answer :

Step 1 :

Write the formula to find volume of a cone.

V = 1/3 · πr²h -----(1)

Step 2 :

To find the volume, we need the radius of the cone. But, the diameter is given, that is 15 cm. So, find the radius.

r = diameter / 2

r = 15/2

r = 7.5

Step 3 :

Substitute π ≈ 3.14, r = 7.5 and h = 16 in (1).

V ≈ 1/3 · 3.14 · 7.5² · 16

Simplify.

V ≈ 1/3 · 3.14 · 56.25 · 16

V ≈ 942

So, the volume of the given cone is about 942 cubic cm.

4. Answer :

Step 1 :

Write the formula to find volume of a cone.

V = 1/3 · πr²h

Step 2 :

Substitute the given measures.

V ≈ 1/3 · 3.14 · 2² · 3

Simplify.

V ≈ 1/3 · 3.14 · 4 · 3

V ≈ 12.6

So, the volume of the given cone is about 12.6 cubic feet.

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