SOLUTION: The volume of a right cone is 4125π units. If its diameter measures 30 units, find its height? please help I'm really stuck...

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Question 1209200: The volume of a right cone is 4125π units. If its diameter measures 30 units, find its height? please help I'm really stuck...
Found 3 solutions by math_tutor2020, ikleyn, greenestamps:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

I'll assume that you meant to say "4125π cubic units" or meant to put a small 3 above "units" to indicate volume. You cannot use linear units for volume.

diameter = 30 ---> radius = 15 (since 30/2 = 15)

V = (1/3)*π*r^2*h
4125π = (1/3)*π*15^2*h
4125 = (1/3)*225*h
h = 3*4125/225
h = 55 is the final answer
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
The volume of a right cone is 4125π units.
If its diameter measures 30 units, find its height.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~


The problem's formulation is FATALLY WRONG.

To be correct, it should be in other form: 

    The volume of a right cone is 4125π  units. 
    If its diameter measures 30 units, find its height?



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The formula for the volume of a right cone with radius r and height h:



The given volume is 4125pi units; the diameter is 30 units, so the radius is 15 units.






ANSWER: The height is 55 units
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