Question

click on the bubble of the correct answer. yung mae has built a raised circular flower bed with a diameter of 10 feet and a height of 2 feet. to the nearest whole foot, how many cubic feet of dirt will she need to fill the space? you may select the formula needed to solve this problem from the formula sheet. click on the formula sheet icon to open it. select one: a. 79 b. 157 c. 220 d. 628

Explanation:

Step1: Find the radius

The diameter $d = 10$ feet, so the radius $r=\frac{d}{2}=\frac{10}{2}=5$ feet.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. Here, $r = 5$ feet and $h=2$ feet. Substitute the values: $V=\pi\times5^{2}\times2=\pi\times25\times 2 = 50\pi$.

Step3: Calculate the numerical value

Taking $\pi\approx3.14$, we have $V\approx50\times3.14 = 157$ cubic - feet.

Answer:

B. 157