All GRE Math Resources
Example Question #4 : Solid Geometry
A cylinder has a height of 4 and a circumference of 16π. What is its volume
none of these
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
Example Question #5 : Solid Geometry
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is , which in this case is .
Example Question #1 : How To Find The Volume Of A Cylinder
A cylinder with volume of and a radius of has its radius doubled. What is the volume of the new cylinder?
To begin, you must solve for the height of the original cylinder. We know:
For our values, we know:
Now, divide both sides by :
So, if we have a new radius of , our volume will be: