A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch radius. How tall will the cup need to

Question

A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch radius. How tall will the cup need to be to hold 93 cubic inches of water? Express your answer to the nearest whole number.

Answer 1

Volume = (1/3)*pi*radius^2 * height

 

 V = pi/3 * R^2 * H

 

93 = pi/3 * 3^2 * h

 

279 = pi * 9 * h

 

h = 279 / (pi * 9)

 

h = 31/pi which is approximately 9.867606472