Question

the diameter of a cylindrical water tank is 9 ft, and its height is 8 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. 9 ft 8 ft

Explanation:

Step1: Find the radius

The diameter \( d = 9\) ft, so the radius \( r=\frac{d}{2}=\frac{9}{2} = 4.5\) ft.

Step2: Use the volume formula for a cylinder

The volume \( V\) of a cylinder is given by \( V=\pi r^{2}h\). Substitute \( \pi = 3.14\), \( r = 4.5\) ft, and \( h = 8\) ft into the formula.
First, calculate \( r^{2}=(4.5)^{2}=20.25\).
Then, \( V = 3.14\times20.25\times8\).
Calculate \( 3.14\times20.25 = 63.585\).
Then, \( 63.585\times8=508.68\).
Round to the nearest whole number, we get \( 509\). The unit for volume of a cylinder is cubic feet (\(ft^{3}\)).

Answer:

\(509\) cubic feet or \(509\ ft^{3}\)