Question

What is the surface area of the cylinder with height 3 mi and radius 2 mi? Round your answer to the nearest thousandth.

Answer 1

SA=62.832 mi^2

Explanation:

To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.

Answer 2

62.832 mi^2

Explanation:

Top and bottom faces : 2^2 x pi = 4pi 4pi x 2 = 8 pi mi^2

Curved Surface Area= pi x diameter x height

= pi x 4 x 3 = 12 pi mi^2

So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)