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 pit?

The answer to your question is 224 π in³

The answer to your question is 224 π in³

Step-by-step explanation:

Data

Cylinder Cone

height = 12 in height = 6 in

radius = 4 in radius = 4 in

Volume = x Volume = y

Process

1. - Calculate the volume of the Cylinder

V = πr²h

V = π (4) ² (12)

V = π (16) (12)

V = 192 π

2. - Calculate the volume of the Cone

V = 1/3 πr²h

V = 1/3 π (4) ² (6)

V = 1/3 π (16) (6)

V = 96/3 π

V = 32 π

3. - Calculate the volume of the head

Volume = 192 π + 32 π

Volume = 224 π in³