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Quick maths question, please help

Might be stupid but how do you find the height when you have slant height and base in a cone? (to find volume)
Reply 1
By base do you mean the radius?

If you have the radius and slanted height, use pythagoras, Slanted height squared minus the radius squared is the height squared, then just square root your answer. Or if you have the diametre you can find the radius.

If you have the area of the base, divide it by pie, square root your answer, the you have the radius, now you can do pythag

Sorry if that's unclear
Reply 2
Original post by irMike
By base do you mean the radius?

If you have the radius and slanted height, use pythagoras, Slanted height squared minus the radius squared is the height squared, then just square root your answer. Or if you have the diametre you can find the radius.

If you have the area of the base, divide it by pie, square root your answer, the you have the radius, now you can do pythag

Sorry if that's unclear


Thank you, i thought it was the 1st bit but unsure
You don't need to use the slant height. I'm assuming that you already know the radius. If so, the answer is rather simple. One would simply rearrange the formula of the volume of a cone, to obtain the perpendicular height. Here is the formula to find the perpendicular height of a cone, given the radius: h=3 x volume / pi r ^2

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