Question

the radius of a cylindrical water tank is 4.5 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: Recall the formula for the volume of a cylinder

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

Step2: Identify the given values

We are given that the radius \( r = 4.5 \) ft and the height \( h = 6 \) ft, and we use \( \pi = 3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^2 \): \( r^2=(4.5)^2 = 20.25 \) square feet.
Then, multiply by \( \pi \) and \( h \): \( V=3.14\times20.25\times6 \).
First, calculate \( 3.14\times20.25 = 63.585 \).
Then, calculate \( 63.585\times6=381.51 \).

Step4: Round to the nearest whole number

\( 381.51\approx382 \).

Answer:

\( 382 \) cubic feet