Question

solve the problem. use 3.14 for π, and round your answer to the nearest tenth. the foundation for a cylindrical flower bed is a cylinder 17 feet in diameter and 5 feet high. how much concrete is needed to pour the foundation? a. 533.8 cu ft b. 2268.7 cu ft c. 1134.3 cu ft d. 4537.3 cu ft please select the best answer from the choices provided a b c d

Explanation:

Step1: Find the radius

The diameter is 17 feet, so the radius \( r=\frac{17}{2} = 8.5 \) feet.

Step2: Use the cylinder volume formula

The volume \( V \) of a cylinder is \( V=\pi r^{2}h \). Substitute \( \pi = 3.14 \), \( r = 8.5 \), and \( h = 5 \) into the formula.
First, calculate \( r^{2}=8.5^{2}=72.25 \).
Then, \( \pi r^{2}=3.14\times72.25 = 226.865 \).
Finally, \( V = 226.865\times5=1134.325 \), round to the nearest tenth is \( 1134.3 \) cu. ft.

Answer:

C. 1134.3 cu. ft