Question

the diameter of a cylindrical water tank is 9 ft, and its height is 11 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: Calculate the radius

The radius $r$ is half the diameter:
$r = \frac{9}{2} = 4.5$ ft

Step2: Apply cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$. Substitute $\pi=3.14$, $r=4.5$, $h=11$:
$V = 3.14 \times (4.5)^2 \times 11$

Step3: Compute step-by-step

First calculate $(4.5)^2 = 20.25$, then:
$V = 3.14 \times 20.25 \times 11 = 3.14 \times 222.75 = 699.435$

Step4: Round to nearest whole number

Round $699.435$ to the nearest integer:
$V \approx 699$

Answer:

699 cubic feet ($\text{ft}^3$)