Chapter 12.7, Problem 15PPS

To determine

To find: the surface area

Answer to Problem 15PPS

The surface area of the solid is $471.2{\text{cm}}^2$

Explanation of Solution

Given:

  

Calculation:

  $\begin{array}{l}slantheight\left(l\right) =15\text{ cm}\hfill \\ radius\left(r\right) =5\text{ cm}\hfill \end{array}$

Now, the lateral area of the cone is found using the formula:

  $\begin{array}{c}L=\pi rl\\ =\pi \times 5\times 15\\ =235.619{\text{cm}}^2\end{array}$

Round off to the nearest tenth to obtain:

  $L=235.6{\text{cm}}^2$

Thus, the surface area of the solid is

  $\begin{array}{c}S=\pi rl+\pi rl\\ =235.6+235.6\\ =471.2{\text{cm}}^2\end{array}$

Conclusion:

Thus, the surface area of the solid is $471.2{\text{cm}}^2$