Question

the radius of a cylindrical water tank is 4.5 ft, and its height is 13 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: Write the formula for the volume of a cylinder

The formula for the volume 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 \(r = 4.5\) ft, \(h=13\) ft, and \(\pi = 3.14\).

$$
LATEXBLOCK0
$$

Step3: Calculate \(3.14\times20.25\)

\(3.14\times20.25 = 63.585\)

Step4: Calculate \(63.585\times13\)

\(63.585\times13=826.605\)

Step5: Round to the nearest whole number

Rounding \(826.605\) to the nearest whole number gives \(827\).

Answer:

\(827\) cubic feet