Question

PLEASE PLEASE HELP!!!!!

Answer 1

10 inches

Explanation:

The surface area of a cylinder is equal to 2 times the area of the base circles plus the height times the circumference.

`SA=2A+Ch`

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

Now substitute given values of radius and surface area

`78\pi =2\pi (3)^2+2\pi (3)h`

Simplify.

`78\pi =18\pi +6\pi h\\60\pi =6\pi h\\10=h`

The height is 10 inches.