Question

the diameter of a cylindrical water tank is 13 ft, and its height is 19 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: Find the radius

The diameter is 13 ft, so the radius \( r=\frac{13}{2}=6.5 \) ft.

Step2: Recall the volume formula for a cylinder

The volume \( V \) of a cylinder is given by \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step3: Substitute the values

We know \( \pi = 3.14 \), \( r = 6.5 \) ft, and \( h = 19 \) ft. So,
\( V=3.14\times(6.5)^{2}\times19 \)
First, calculate \( (6.5)^{2}=42.25 \)
Then, \( 3.14\times42.25 = 132.665 \)
Finally, \( 132.665\times19 = 2520.635 \)

Step4: Round to the nearest whole number

Rounding 2520.635 to the nearest whole number gives 2521.

Answer:

2521 cubic feet (or \( 2521\space ft^{3} \))