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?

Respuesta :

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

[tex] \pi r^{2} h[/tex]

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.

[tex] \pi *6^{2} *0.3333= 37.70 feet^{3} [/tex]

So, the answer is 37.70 cubic feet.