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

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

Question 565107: The formula for the volume of a cone is , 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) (Show Source): You can put this solution on YOUR website!
First, we'll plug the volume and radius into the formula:

Simplify the right hand side by typing into a calculator (you get approximately 26.17, if you use 3.14 for pi):

Divide both sides by 26.17 to finish getting h by itself:

The height is approximately 4.2 cm.
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