Question

What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches? 1. Apply the formula for the volume of a cylinder: V = Bh 2. Substitute the known measures into the formula: 174π = B(12) 3. Apply the division property of equality: 174π 12 = B 12 12 The area of the base of the cyclinder is π in.2.

Answer 1

ANSWER

The area of the base is 14.5π in²

EXPLANATION

The volume of a cylinder is given by

$Volume =base\:area \times height$

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²