SOLUTION: the altitude 'h' of a cone varies directly as its volume and inversely as the square of the radius of its base. if a cone with an altitude of 32 centimeters and a radius of the bas

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Question 200513: the altitude 'h' of a cone varies directly as its volume and inversely as the square of the radius of its base. if a cone with an altitude of 32 centimeters and a radius of the base is 4 centimeters and has a volume of 512pi%2F3 cubic centimeters, find the altitude of a cone with a volume of 6pi cubic centimeters and the radius of the base is 3 centimeters
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the altitude of a cone with a volume of 6pi cubic centimeters and the radius of the base is 3 centimeters
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V = (pi*r^2*h)/3
6pi = pi*9*h/3
h = 2 cm

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The altitude 'h' of a cone varies directly as its volume and inversely as the
square of the radius of its base. If a cone with an altitude of 32 centimeters
and a radius of the base is 4 centimeters and has a volume of 512pi/3 cubic
centimeters, find the altitude of a cone with a volume of 6pi cubic centimeters
and the radius of the base is 3 centimeters
:
"the altitude 'h' of a cone varies directly as its volume and inversely as the square of the radius of its base." We can write this as:
h = v%2Fr%5E2
:
"find the altitude of a cone with a volume of 6pi cubic centimeters and the
radius of the base is 3 centimeters"
h = %286pi%29%2F3%5E2
h = %2818.85%29%2F9
h = 2.09 cm is the height