Question

the diameter of a cylindrical water tank is 13 ft, and its height is 11 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: Use the cylinder volume formula

The formula for the volume of a cylinder is \( V = \pi r^{2}h \). Substitute \( \pi = 3.14 \), \( r = 6.5 \) ft, and \( h = 11 \) ft.
First, calculate \( r^{2}=(6.5)^{2}=42.25 \).
Then, \( \pi r^{2}=3.14\times42.25 = 132.665 \).
Finally, \( V=132.665\times11 = 1459.315 \).
Round to the nearest whole number: \( V\approx1459 \) cubic feet.

Answer:

\( 1459 \text{ ft}^3 \)