Question

The Surface are of a cylinder is 325 inches. The Lateral area is 200 in. What is radius of each base?

Answer 1

The radius of each base is 4.46 inches.

Explanation:

The surface area (SA) of a cylinder is given by:

`SA = 2\pi rh + 2\pi r^(2) = 325` (1)

Where:

r: is the radius of each base

h: is the height of the cylinder

Now, the lateral area (LA) is:

`LA = 2\pi rh = 200` (2)

Hence, by entering equation (2) into equation (1) we have:

`SA = LA + 2\pi r^(2)`

`325 = 200 + 2\pi r^(2)`

`r = \sqrt{(325 - 200)/(2\pi)} = 4.46 in`

Therefore, the radius of each base is 4.46 inches.

I hope it helps you!