Question

The volume of the cylinder is 144 Pi cubic yards. Of h, the height of the cylinder is 4, what is r, the radius of the base?

A.10
B.15
C.13
D.6

Answer 1

6 yd (Answer D)

Explanation:

The formula for the volume of a cylinder of radius r and height h is

V = πr²h.

Here, this V = πr²h equals 144π yd³.

We must solve πr²h = 144π yd³ for r with the constraint that h = 4 yd.

Replacing h with 4 yd:

πr²(4 yd) = 144π yd³

Dividing both sides by π, we get:

4r² yd = 144 yd³

144 yd³

Solving for r²: r² = -------------- = 36 yd²

4 yd

Taking the square root of both sides, we get r = 6 yd (Answer D)