Given the cylinder such that the radius of the base is (r) = 6 in

Also, given that the height of the cylinder is (h) = 17 in.

We need to find the surface area of the cylinder.

We know that the surface area of the cylinder is given by the following equation.

SA = 2*area of the base + area of the side.

==> SA = 2*A1 + A2

Let us calculate the area of the base.

We know that the area of the circle = r^2*pi

==> A1 = 36*pi = 113.1 in^2

Now we need to find the area of the sides.

A2 = circumference of the base * h

= 2*pi*r * h

= 2*6*pi*17 = 204*pi = 640.9 in^2

Now we will substitute into the surface area.

SA = 2*A1 + A2

= 2*113.1 + 640.9

= 226.2 + 640.9 = 867.1 in^2 (approx.)

**Then, the surface area of the cylinder is 867.1 in^2**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now