SOLUTION: a cone shaped vase holds 80pi cubic inches of water. If the vase is 5 inches deep what is the diameter of the vase?

Question 1033840: a cone shaped vase holds 80pi cubic inches of water. If the vase is 5 inches deep what is the diameter of the vase?
Found 2 solutions by fractalier, Boreal:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The volume of a cone is given by

Plugging in we get

Now solve for r and then double it to get diameter...so we get
240 = r^2*5
48 = r^2
r = 6.93 inches so that
d = 13.9 inches
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Volume of a cone is (1/3)*pi*r^2h
That equals 80 pi
80=(1/3)*r^2 h
240 =r^2h
48=r^2
r=4sqrt(3)
diameter is 8 sqrt(3) inches or 13.86 inches.
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