Question

question: a cylinder has a base diameter of 6 feet and a height of 15 feet. what is its volume in cubic feet, to the nearest tenths place? answer:

Explanation:

Step1: Find the radius

The diameter $d = 6$ feet, so the radius $r=\frac{d}{2}=\frac{6}{2}=3$ feet.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 3$ feet and $h=15$ feet into the formula. So $V=\pi\times3^{2}\times15=\pi\times9\times15 = 135\pi$ cubic - feet.

Step3: Calculate the value and round

Using $\pi\approx3.14$, we have $V\approx135\times3.14 = 423.9$ cubic - feet.

Answer:

$423.9$