A conical candle is to be made from 240 cm of wax. If the candle's height is three times its diameter, what radius and height should it have, to the nearest tenth?

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Answer 1 · 2017-11-19T16:29:00

#r=2.7 "( nearest tenth)"cm#

volume of cone #=1/3pir^2h--(1)#

#r=#radius

#h=#height

we are given that the height is three times diameter

#h=3d#

but #d=2r#

#:.h=3xx2r=6r#

#(1)rarr240=1/3pi(r^2)(6r)#

#720=6pir^3#

#r^3=(720)/(12pi)#

#r=root(3)(720/(12pi)#

#r=2.6730009235#

#r=2.7 "( nearest tenth)"cm#