Question

1. a child’s round “flop sided” wading pool has a diameter of 10 feet and can be filled to a depth of 18 inches. how many cubic feet of water will the pool hold? (the formula for the volume of a cylinder is $v = pi r^{2}h$, where $h$ is the height of the cylinder)

Explanation:

Step1: Convert inches to feet

Since 1 foot = 12 inches, 18 inches = $\frac{18}{12}=1.5$ feet.

Step2: Find the radius

The diameter $d = 10$ feet, and the radius $r=\frac{d}{2}=\frac{10}{2}=5$ feet.

Step3: Calculate the volume

Using the formula $V=\pi r^{2}h$, substitute $r = 5$ feet and $h=1.5$ feet. So $V=\pi\times5^{2}\times1.5=\pi\times25\times1.5 = 37.5\pi\approx37.5\times3.14 = 117.75$ cubic - feet.

Answer:

$117.75$ cubic feet