SOLUTION: A right circular cone has a base radius of 2x-5 and a height of 3x. The cone has a volume of 125pi cubic units. Find the possible value(s) of x.
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Question 834353: A right circular cone has a base radius of 2x-5 and a height of 3x. The cone has a volume of 125pi cubic units. Find the possible value(s) of x.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A right circular cone has a base radius of 2x-5 and a height of 3x.
The cone has a volume of 125pi cubic units.
Find the possible value(s) of x.
:
The Vol of cone:
so we have
=
Get rid of the fraction multiply both sides by 3
=
divide both sides by pi
=
Foil
=
Group factor
Factor (x-5)
(x-5)(12x^2+75) = 0
one positive solution
x = 5
;
:
See if this works out
r = 2(5) - 5
r = 5
h = 3*5 = 15
Use a calc
=
392.7 = 392.7
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