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

Answer:

$87.125\pi in^{2} or 87\frac{1}{8}\pi in^{2}$

Step-by-step 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 = $2\pi (4.25)(6)+2\pi (4.25)^{2} \\=51\pi +36.125\pi \\=87.125\pi in^{2} or 87\frac{1}{8} \pi in^{2}$