How Do You Find the Height of a Cylinder if You Know the Volume?

V=Bh is the formula for the volume, where B is the area of the base and h is the height
The base is a circle, so its area is πr²
Combining those formulas together gives us a new equation we can use!

1. The formula for the volume of a cylinder is V=Bh
2. B is the area of the base, which is a circle
3. Since the area of a circle is πr², we can substitute that for B to get V=πr²h
1. Let's see if we can find values for the variables in our new equation, V=πr²h
2. We know that V=87.92 and r=2
3. But we don't know what h is, so we need to solve for it
1. π is actually a non-repeating decimal that goes on forever, but for this problem we can round it to two decimal places
1. Plug the values for π, r, and V into the formula for the volume of a cylinder
2. Remember, r=2, V=87.92, and π=3.14
1. We need to solve this for h:
2. 87.92=(3.14(2)²)h

Find the height of the cylinder shown in the diagram if its volume is 87.92m3