Question

Find the total surface area of the cylinder shown. Leave the answer in terms of π. A cylinder with radius 4.25 inches and height 6 inches. SA=2πrh+2πr2

Answer 1

`87.125\pi in^(2) or 87(1)/(8)\pi in^(2)`

Explanation:

Given Surface Area of Cylinder =
`2\pi rh+2\pi r^(2)`,

and also given r = 4.25 inches and h = 6 inches.

Let's Substitute r and h into the formula to find the total surface area.

Surface Area of Cylinder =
`2\pi (4.25)(6)+2\pi (4.25)^(2) \\=51\pi +36.125\pi \\=87.125\pi in^(2) or 87(1)/(8) \pi in^(2)`