Question

A tin man has a head that is a cylinder with a cone on top. The height of the cylinder is 12 inches and the height of the cone is 6 inches. The radius of both the cylinder and the cone is 4 inches. What is the volume of the tin man's head in terms of pi? A. 192pi inches3 B. 224 pi inches3 C. 384pi inches3 D. 912pi inches3

Answer 1

The general formula of volume
v cylinder = π × r² × t
v cone = 1/3 × π × r² × t

Calculate the volume of cylinder
v cylinder = π × r² × t
v cylinder = π × 4² × 12
v cylinder = π × 16 × 12
v cylinder = 192π

Calculate the volume of cone
v cone = 1/3 × π × r² × t
v cone = 1/3 × π × 4² × 6
v cone = 1/3 × π × 16 × 6
v come = 32π

Calculate the volume of hat
v hat = v cylinder + v cone
v hat = 192π + 32π
v hat = 224π

The volume of the hat is 224π in³