Question

the diameter of a cylindrical water tank is 9 ft, and its height is 6 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 \( d = 9\) ft, so the radius \( r=\frac{d}{2}=\frac{9}{2} = 4.5\) ft.

Step2: Recall the volume formula for a cylinder

The volume \( V\) of a cylinder is given by \( V=\pi r^{2}h\), where \( h = 6\) ft and \(\pi=3.14\).

Step3: Substitute the values into the formula

First, calculate \( r^{2}=(4.5)^{2}=20.25\). Then, \( V = 3.14\times20.25\times6\).
Calculate \( 3.14\times20.25 = 63.585\), and then \( 63.585\times6=381.51\).

Step4: Round to the nearest whole number

Rounding \( 381.51\) to the nearest whole number gives \( 382\). The unit for volume of a three - dimensional object is cubic feet (\(ft^{3}\)).

Answer:

\(382\) cubic feet (\(382\ ft^{3}\))