SOLUTION
The lateral surface area of a cylinder is calculated using this formula:
![A_L=\text{ 2}\pi rh](https://img.qammunity.org/2023/formulas/mathematics/college/sgv6wrd843896tr6t59dcr93stmipgbn9q.png)
Where r = radius and h = height
From the question, radius = 7 feet and height = 21 feet, substituting these
parameters into the lateral surface area formula given above, we can get the answer to the question:
![\begin{gathered} A_L=2\pi rh \\ =2*3.14*7*21 \\ =923.16ft^2 \\ =923.2ft^2(to\text{ the nearest tenth)} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9x2r43z90j8u2wa7k4q9gf8z4xcvd8ezoy.png)
The lateral surface area of the cylinder is
![923.2ft^2](https://img.qammunity.org/2023/formulas/mathematics/college/wt8ysz2xxumrhf33jrfnegv19modgr345s.png)