SOLUTION: Dear Math tutor, How do you calculate the base radius of a cone given only Volume and height. The values volume V and the vertical height h. V=1400mm^3 h= 2cm Best wishes

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Question 777404: Dear Math tutor,
How do you calculate the base radius of a cone given only Volume and height.
The values volume V and the vertical height h.
V=1400mm^3 h= 2cm
Best wishes,
Nats

Found 3 solutions by wilft1, solver91311, MathLover1:
Answer by wilft1(217) About Me  (Show Source):
You can put this solution on YOUR website!
the formula for calculating the volume of a cone is V = 1/3 x pi x r^2 x h
2 x r^2 x 3.14 x 1/3 = 1400
we are going to take from both sides of the equation when we do this until we are left with only r^2
lets get rid of the 1/3 on both sides of the equation, 1/3 equates to .33 sooo
2 x r^2 x 3.14 = 462
lets get rid of the 2 by dividing both sides by 2
r^2 x 3.14 = 231
lets get rid of 3.14 by dividing both sides by 3.14
r^2 = 73.56687898
lets find the square root of 73.56687898, which is 8.577113674
r = 8.577113674
hope this helps :)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




So



Just plug in your numbers and do the arithmetic. Remember to convert units so that all measurements are in like units. Example: 2 cm = 20 mm. Leave the answer in terms of for an exact answer, or pick an appropriate approximation of . 3.14 should work since, if you are approximating, you need to round off to the nearest 10 mm since your least precise given measurement was in whole centimeters.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Volume of a cone:
V+=+%281%2F3%29pi%2Ar%5E2h
given:
V+=+1400mm%5E3
+h=+2cm.....convert into mm since V given in mm%5E3
+h=+20mm
plug given values in V+=+%281%2F3%29pi%2Ar%5E2h
+1400mm%5E3=+%281%2F3%293.14%2Ar%5E2%2A20mm
+1400mm%5E3%2F20mm=+%283.14%2F3%29%2Ar%5E2
+70mm%5E2=+1.047%2Ar%5E2
+70mm%5E2%2F1.047=r%5E2
+66.88mm%5E2=r%5E2
+r=sqrt%2866.88mm%5E2%29
+r=8.18mm%29