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 volume formula

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

Step2: Substitute values

Given $r = 4.5$ ft and $h=6$ ft, and $\pi = 3.14$. Substitute into the formula: $V=3.14\times(4.5)^{2}\times6$.
First, calculate $(4.5)^{2}=4.5\times4.5 = 20.25$. Then $V = 3.14\times20.25\times6$.
$3.14\times20.25 = 63.585$, and $63.585\times6=381.51$.

Step3: Round the result

Round $381.51$ to the nearest whole number. Since the decimal part $0.51\geq0.5$, we round up to $382$.

Answer:

$382$ ft³