Question

Use the net to find the surface area of the cylinder. Give your answer in terms of pi

A. 48pi yd^2
B. 40pi yd^2
C. 16pi yd^2
D. 56pi yd^2

Answer 1

D.
`SA=56\pi`

Answer 2

D) 56π yd²

Explanation:

The surface area of a cylinder is
`SA=2\pi rh+2\pi r^2`

Given a diameter of 4 yards, its radius must be 2 yards, which is half of it.

Now, we can determine the surface area of the cylinder:

`SA=3\pi rh+2\pi r^2`

`SA=2\pi(2)(12)+2\pi(2)^2`

`SA=2\pi(24)+2\pi(4)`

`SA=48\pi+8\pi`

`SA=56\pi`

Therefore, the surface area of the cylinder is 56π yd².