SOLUTION: Determine the volume of a frustum of a cone if the diameter of the ends are 2 cm and 6 cm and its perpendicular height is 18 cm. Express answers in cubic cm in two decimal places.

Algebra ->  Volume -> SOLUTION: Determine the volume of a frustum of a cone if the diameter of the ends are 2 cm and 6 cm and its perpendicular height is 18 cm. Express answers in cubic cm in two decimal places.      Log On


   

Question 1009843: Determine the volume of a frustum of a cone if the diameter of the ends are 2 cm and 6 cm and its perpendicular height is 18 cm. Express answers in cubic cm in two decimal places.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a frustrum is,
V=%28%28pi%2Ah%29%2F3%29%28R%5E2%2BR%2Ar%2Br%5E2%29
where r and R are the two radii.
In this case,
V=%28%28pi%2A18%29%2F3%29%28%282%2F2%29%5E2%2B%282%2F2%29%2A%286%2F2%29%2B%286%2F2%29%5E2%29
V=%286%2Api%29%281%2B3%2B9%29
V=%286%2Api%29%2813%29
V=78%2Api