A cone with a height of 6 and a volume of 18∏. Can you fine the radius?

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PLEASE HELP. my teacher says showing work is required. if its not to much a hassle please show work

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Answer 1 · 2017-03-01T16:42:20

The radius is #sqrt 3#.

Volume of a cone is given by the formula:

#V = pi r^2 h#,

where #r# is the radius of the base of the cone an #h# is his height.

Then we have the following:

#18 pi = pi r^2 cdot 6 rArr r = sqrt {{18 pi}/{6 pi}} = sqrt 3#.