Question

What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round

your answer to the nearest thousandth.

Answer 1

376.991 cm²

Explanation:

`SA_(cylinder) = 2\pi r^(2) + 2\pi rh`

Surface Area = 2π(5²) + 2π(5)(7)

= 50π + 70π

= 120π

= 376.9911184... ≈ 376.991

Derive Surface Area of A Cylinder

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh