Question

Find the surface area of the prism, cylinder, or pyramid. Round to the nearest whole number.

Short answer

The surface area is 1012 square feet.

Step-by-step solution

Step 1. Given Information.

The figure is shown below.

Step 2. Formula used.

$\text{Areaofcylinder}=\pi r^2$

$\text{CurvedSurfaceareaofcylinder}=2\pi rh$

Step 3. Calculation.

Evaluate the area of two circular lids of cylinder.

$\begin{array}{c}{\text{Area}}_{\text{1}}=2\left(\pi \times 7^2\right)\\ =2\times \frac{22}{7}\times 7\times 7\\ =308\end{array}$

Calculate the area of the curved surface area of cylinder.

$\begin{array}{c}{\text{Area}}_{\text{2}}=16\times 2\pi \times 7\\ =16\times 2\times \frac{22}{7}\times 7\\ =704\end{array}$

Total surface area (A) of cylinder is equal to the sum of${\text{Area}}_{\text{1}}$ and${\text{Area}}_{\text{2}}$ .

$\begin{array}{c}A=308+704\\ =1012\end{array}$

Step 4. Conclusion.

The surface area of pyramid is 1012 square feet.