Question

the diameter of a cylindrical water tank is 12 ft, and its height is 13 ft. what is the volume of the tank? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Calculate the radius

The diameter $d = 12$ ft, and the radius $r=\frac{d}{2}=\frac{12}{2}=6$ ft.

Step2: Use the cylinder - volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$. Given $\pi = 3.14$, $r = 6$ ft and $h = 13$ ft. Substitute the values into the formula: $V=3.14\times6^{2}\times13$.

Step3: Calculate the result

First, calculate $6^{2}=36$. Then $3.14\times36\times13=3.14\times468 = 1469.52$ cubic - feet.

Step4: Round the answer

Rounding $1469.52$ to the nearest whole number gives $1470$ cubic - feet.

Answer:

$1470$ ft³