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Two candles have the same volume. The cylindrical candle has radius 4cm and height 11cm. The conical candle has height 20cm. What is the radius of the base of the conical candle

Guest May 13, 2017
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Volume  =  pi * radius^2 * height

 

Volume  =  pi * 4^2  * 11   =   176 pi cm^3

 

So......since the candles have the same vollume.....

 

176 pi   =  (1/3) pi * radius^2 * 20        divide both sides by (20/3) pi

 

[176/(20/3) ]   = radius^2

 

132/5   =  radius^2        take the square root of both sides

 

√ (132/5)   = raduis of conical candle ≈  5.14 cm

 

 

 

 

cool cool cool

CPhill  May 13, 2017

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