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?
Accepted Solution
A:
Volume of a cylinder: [tex] \pi [/tex]r²h
First we need to find the radius of the cylinder. It's area is 25. We can plug that into the area formula, [tex] \pi [/tex]r² and solve for r (radius).
[tex] \pi [/tex]r² = 25 Divide both sides by [tex] \pi [/tex].
r² = 7.96 Square root both sides.
r = 2.82 meters
Now plug the radius + volume into the volume formula and solve for h. [tex] \pi [/tex]2.82²h = 225 Divide by [tex] \pi [/tex].