SOLUTION: The volume of a cone is 108(3.14)cm^3. If the area of the base is 81(3.14)cm^2, what is the height ?

Algebra ->  Volume -> SOLUTION: The volume of a cone is 108(3.14)cm^3. If the area of the base is 81(3.14)cm^2, what is the height ?      Log On


   

Question 750479: The volume of a cone is 108(3.14)cm^3. If the area of the base is 81(3.14)cm^2, what is the height ?
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cone is given by
(1) V = B*h/3 where
(2) B = pi%2Ar%5E2%7C%7C%7C+but+you+given+B+as%0D%0A%283%29+B+=+%7B%7B%7B81%2Api and
(4) V = 108pi
Substituting (3) and (4) into (1) yields
(5) 108%2Api+=+81%2Api%2Ah%2F3 or
(6) 108 = 27*h or
(7) h = 4
Answer: The height of the cone is 4cm.