What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?

The area of the base is 14.5π in²

Step-by-step 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

area of base =  14.5π in²

Step-by-step explanation:

the area of the base of a cylinder with a volume of 174π in^3 and a height of 12 inches is found by applying the formula for the volume of a cylinder:

V = πr²h

Here  the area of the base of a cylinder with a volume of 174π in³ and a height of 12 inches, and so:

V = πr²(12 in) = 174 π in³

Dividing both sides by 12 in isolates πr², which is the area of the base:

                                   174π in³

area of base = πr² = = 14.5π in²

                                     12 in