Question

A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder?

(3.14)(52)(8)
1 over 3(3.14)(52)(8)
(3.14)(82)(5)
1 over 3(3.14)(82)(5)

Answer 1

1 over 3(3.14)(5²)(8)

Explanation:

Answer 2

The answer is 1 over 3(3.14)(5²)(8)

The volume of the cylinder (V1) is:
V1 = π · r² · h (r - radius, h - height)

The volume of the cone (V2) is:
V2 = 1/3 π · r² · h (r - radius, h - height)

It is given:
r = 5 feet
h = 8 feet
π = 3.14

Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8 which is the same as 1 over 3(3.14)(5²)(8).