PLEASE PLEASE HELP!!!!!

Question

asked Jul 1, 2024 120k views

1 Answer

Btlog · Answer 1 · 2024-07-08T03:04:08+0000

Answer:

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.