Chapter 8.3, Problem 29PPE

To determine

To find the surface area of the given cylinder

  

Answer to Problem 29PPE

The surface area of the given cylinder is $4\pi x^2+22\pi x+28\pi$ .

Explanation of Solution

Given information:

Givencylinder

  

Since the cylinder has radius $=x+2\text{and}\text{height}=x+5$

The surface area of the cylinder is $=2\pi r^2+2\pi rh$

  $=2\pi {\left(x+2\right)}^2+2\pi \left(x+2\right)\left(x+5\right)$

Hence, the surface area of the given cylinder is $4\pi x^2+22\pi x+28\pi$ .