The radius and height of a wax made cylinder are 6 cm and 12 cm respectively. A cone of same base radius and height hasbeen made from this cylinder by cutting out.(a) Find the volume of cone(b) How many candles with 1 cm radius and 12 cm height can be made using the remaining wax
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Answer:
A) 452.57 cm^3
B) 24 candles
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(a)The volume of cone is 452.3893 cm^2.
(b)The number of candles that can be made from remaining wax is 24.
- First find the volume of candle using volume=π×r×r×h where h is height and r is radius of candle. You will get volume as 1357.1680 cm^3.
- Now to find volume of cone use volume=(1/3)×π×r×r×h. You will get volume of cone as 452.3893 cm^3.
- Now to find number of candles subtract volume of cone from volume of cylinder you will get 904.7787cm^3
- Now divide the obtained volume by the of volume of new candles to be made. You will get 24 candles.
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