Question

Jeffrey is buying mulch for a circular flower garden with a diameter of 12 feet. The layer of mulch needs to be 4 inches thick. What is the volume of mulch needed for the flower garden?

Answer 1

This will end up being a cylinder, and the formula for the volume of a cylinder is:


`\pi r^(2) h`

We are told the diameter, and the height. We can covert the diameter into the radius by dividing it by two. So, the radius of the garden is 6 feet.

Next, we need to convert the units. We can either convert the radius to inches, or the height to feet. I will choose to convert the height to feet. You convert inches to feet by dividing the number by 12.

4/12=0.333. Now, we have all the information necessary to put it in the formula.


`\pi *6^(2) *0.3333= 37.70 feet^(3)`

So, the answer is 37.70 cubic feet.