Chapter 11.2, Problem 18E

To determine

To calculate: the surface area of cylinder

  

Answer to Problem 18E

The surface area of cylinder is $1012$ square feet

Explanation of Solution

Given information: Consider, the value provided in the question

Diameter $=14$

Radius $=\frac{d}{2}=\frac{14}{2}=7$

Height $=16$

Formula used: Area of cylinder $=\pi r^2$

Curved surface area of cylinder $=2\pi rh$

Calculation: To find the surface area of cylinder,

Evaluate the area of two circular lids of cylinder

Area₁$=2\left(\pi \times 7^2\right)$

Area₁$=2\times \frac{22}{7}\times 7\times 7$_\ Area₁$=308$

The area of the curved surface area of cylinder is

Area₂$=16\times 2\pi \times 7$

Area₂$=16\times 2\times \frac{22}{7}\times 7$

Area₂$=704$

Total surface area of cylinder= Area₁+ Area₂

Total surface area of cylinder $=308+704$

Total surface area of cylinder $=1012$

The surface area of cylinder is $1012$ square feet