Question

the radius of a cylindrical water tank is 6.5 ft, and its height is 17 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: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \(r = 6.5\) ft and \(h=17\) ft, and \(\pi = 3.14\). Then \(V=3.14\times(6.5)^{2}\times17\).
First, calculate \((6.5)^{2}=6.5\times6.5 = 42.25\).
Then, \(V=3.14\times42.25\times17\).
\(3.14\times42.25 = 132.665\).
Next, \(V=132.665\times17\).
\(132.665\times17=(130 + 2.665)\times17=130\times17+2.665\times17=2210+45.305 = 2255.305\).

Step3: Round the result

Rounding \(2255.305\) to the nearest whole number gives \(2255\).

Answer:

\(2255\ \text{ft}^3\)