Suppose the volume of a right circular cylinder is 225 cubic meters and the area of its base is 25 square meters. what is the height of the cylinder?

Volume of a cylinder: r²h

First we need to find the radius of the cylinder. It's area is 25. We can plug that into the area formula, r² and solve for r (radius).

r² = 25
Divide both sides by .

r² = 7.96
Square root both sides.

r = 2.82 meters

Now plug the radius + volume into the volume formula and solve for h.
2.82²h = 225
Divide by .

2.82²h = 71.62
Divide by 2.82².

h = 9

The height of the cylinder is 9 square meters.