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?

Answer 1

Answer:

6 yd (Answer D)

Step-by-step 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)