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...

Algebra ->  Formulas -> 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...      Log On


   

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) About Me  (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(52787) About Me  (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 highlight%28highlight%28cubic%29%29 units. 
    If its diameter measures 30 units, find its height?



Answer by greenestamps(13200) About Me  (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:

V=%281%2F3%29%28pi%29%28r%5E2%29%28h%29

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

4125%28pi%29=%281%2F3%29%28pi%29%2815%5E2%29%28h%29
12375=225h

h=12375%2F225=55

ANSWER: The height is 55 units