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)

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).