A solid cylinder made of wax is of base radius 6 centimetres and height 12 centimetres. A cone of same radius and height is carved out from this. (a) What is the volume of this cone? (b) How many candles of cylindrical shape of 1 centimetre radius and 12 height can be made with the remaining wax?
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Solution
(a) Volume of cone =13πr2h=13π(6)212=144πcm3 (b) Volume of cylinder =πr2h=π(6)212=432πcm3 Volume of remaining wax =432π−144π=288πcm3 Volume of one candle =πr2h=π×12×12=12πcm3 Thus, number of candles =288π12π=24 Thus, number of candles is 24.