Chapter 12, Problem 7MCQ

To determine

To determine lateral area and surface area.

Answer to Problem 7MCQ

  $\approx 301.6{\text{ feet}}^2$ and $\approx 703.7{\text{ feet}}^2$

Explanation of Solution

Given:

  

Formula used:

Lateral area of a cylinder $A=2\pi rh$

  $\left[r=\text{radius and }h=\text{height}\right]$

Surface area of a cylinder $A=2\pi rh+2\pi r^2$

  $\left[r=\text{radius and }h=\text{height}\right]$

Calculation:

  

Radius of the cylinder $=8$ feet

Height of the cylinder $=6$ feet

Now, lateral area of a cylinder $A=2\pi rh$

  $=2\pi \times 8\times 6$

  $=2\pi \times 48$

  $=301.592$

  $\approx 301.6{\text{ feet}}^2$

And surface area of a cylinder $A=2\pi rh+2\pi r^2$

  $=2\pi \times 8\times 6+2\pi \times {(8)}^2$

  $=2\pi \times 48+2\pi \times 64$

  $=301.592+402.123$

  $=703.715$

  $\approx 703.7{\text{ feet}}^2$

Conclusion:

Therefore, lateral area and surface area of the given figure are $\approx 301.6{\text{ feet}}^2$ and $\approx 703.7{\text{ feet}}^2$ respectively.