Chapter 11.6, Problem 41HP

To determine

The surface area of the cylinder

Answer to Problem 41HP

The surface area is $2413$

Option G is correct

Explanation of Solution

Given information:

Christie has a cylinder block that she needs to paint for an art project

  

  $\begin{array}{l}\text{Height}h=20in\\ \text{Diameter}=24in\\ \text{Radius}r=\frac{24}{2}=12in\end{array}$

Concept used:

• The formula for surface area of cylinder: $A=2\pi rh+2\pi r^2$

Calculation:

To find how the surface area of the cylinder is as below:

  $A=2\pi rh+2\pi r^2$

  $\begin{array}{c}A=2\pi rh+2\pi r^2\\ =2\pi \left(12\right)\left(20\right)+2\pi {\left(12\right)}^2\\ =2\pi \left(240+144\right)\\ =2\pi \left(384\right)\\ =2413\end{array}$

Thus, the surface area is $2413$

Option G is correct