SOLUTION: i need to make a cone but i only have the volume which is 500 centimeters cube and i need to find the Theda, height and i think that the radios is 477046 what i did was times 500 b

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Question 305563: i need to make a cone but i only have the volume which is 500 centimeters cube and i need to find the Theda, height and i think that the radios is 477046 what i did was times 500 by 3 and divided by pie since the formula im using is 500=1/3pier X R square X height
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


So far, so good.





but there are an infinite number of combinations of different values of and such that .

Then only thing you can do now is to fix one of the values and calculate the other.

For example, if you choose 10 for the radius, the height would come work out very close to 4.775

Or 5 for the radius gives you -- not quite 20.

Or a height of 15 would give you a radius of -- A little over 5 and a half.

Now if you want a specific angle between the cone generator and the axis, that is another story altogether. By the way, it is Theta, not "Theda"



Which is to say that



or



Which, combined with the earlier derivations leads us to:



or




John