A cone of radius 5 cm is filled with water . If the water poured in a cylinder of radius 10 cm , the height of the water rises 2 cm , find the height of the cone .

Answers (1)

Solution:  Let  the height of the cone be h cm . Then , 

                Volume of the cone = frac13	imes frac227	imes5 	imes5	imes h  cm^3

when the water in the cone is poured in a cylinder of radius 10 cm , the height of the water rises to 2 cm .

	herefore            Volume of the water = Volume of a cylinder of  radius 10 cm and height 2 cm .

   Rightarrow        Volume of the water  =frac227	imes10 	imes 10 	imes 2  cm^3

But ,       Volume of the cone = Volume of the water 

	herefore           frac13 	imes frac227	imes 5 	imes5 	imes h=frac227	imes 10	imes 10 	imes 2

 Rightarrow                 h=24 cm

Hence , the height of the cone is 24 cm .  

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