Question

A machine part consists of a half-sphere and a cylinder, as shown in the figure.

The total volume of the part is _____ π cubic inches.

Answer 1

Answer: 126 pi cubic inches

Step-by-step explanation: I reviewed my answers and got it right on Plato/Edmentum.

Answer 2

126π in³

Explanation:

The volume of the figure is the sum of the volumes of the cylinder and hemisphere. The radius is half the diameter, so is 3 in. The volume formula for this figure is ...

V = πr²h +2/3πr³ = πr²(h +2/3r)

V = π(3 in)²(12 in + 2/3(3 in)) = π(9 in²)(14 in)

V = 126π in³

The volume of the part is 126π cubic inches.