Question

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

Answer 1

Answer:

The radius of each base is 4.46 inches.

Step-by-step 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:

$SA = LA + 2\pi r^{2}$                  

$325 = 200 + 2\pi r^{2}$

$r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in$

Therefore, the radius of each base is 4.46 inches.

I hope it helps you!