SOLUTION: The formula for the volume of a cone is {{{V=(1/3)pi*r^2* h}}}, where V represents the volume, r represents the radius of the base, and h represents the height. What is the height

Algebra ->  Volume -> SOLUTION: The formula for the volume of a cone is {{{V=(1/3)pi*r^2* h}}}, where V represents the volume, r represents the radius of the base, and h represents the height. What is the height      Log On


   

Question 565107: The formula for the volume of a cone is V=%281%2F3%29pi%2Ar%5E2%2A+h, where V represents the volume, r represents the radius of the base, and h represents the height. What is the height of a cone with a volume of 110 cubic centimeters and with at radius of 5 centimeters?
Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
First, we'll plug the volume and radius into the formula:
110=%281%2F3%29%2Api%2A5%5E2%2Ah
Simplify the right hand side by typing %281%2F3%29%2Api%2A5%5E2 into a calculator (you get approximately 26.17, if you use 3.14 for pi):
110=26.17%2Ah
Divide both sides by 26.17 to finish getting h by itself:
4.2=h
The height is approximately 4.2 cm.