Question

Two solids are described in the list below.

• One solid is a sphere and has a radius of 6 inches.

• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches. What is the difference between the volumes, in cubic inches, of the solids in terms of pi?

A) 72pi
B) 144pi
C) 216pi
D) 288pi​

Answer 1

Answer:216X

Explanation:

Volume of the sphere = 4/3 πr³

radius r = 6 inches

Volume = 4/3 π(6)³

⇒ 4/3(216)π

⇒ 472π

⇒ 288π cubic inches

Volume of a cylinder = π r²h

radius r = 6 inches

height h = 6 inches

Volume = π(6)²(6)

⇒ 6³π

⇒ 216π cubic inches

Difference between the volumes = 288π - 216π = 72π