Question

diameter of Ronnie’s head is 6 in. His basketball has a circumference of 12.57 in. Compare the volume of Ronnie’s head to the volume of his basketball.

Answer 1

Head: 113.04 in³

Basketball: 33.5 in³

Explanation:

suppose Ronnie's head and basketball are spheres

V = 4/3πr³

Head: V₁ = 4/3 * 3.14 * 3³ = 113.04

Basketball: C = 2πr

r = C / 2π = 12.57 / 6.28 = 2.00 (it's a small ball :))

V₂ = 4/3 * 3.14 * 2³ = 33.49