A conical container of base radius 'r' and height 'h' is full of water which is poured into a cylindrical container of radius mr then it will occupy a height equal to
3m2h
h3m2
3hm
mh3
A
3m2h
B
h3m2
C
3hm
D
mh3
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Solution
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Given base radius and height of conical container is r and h respt.
Then volume of conical container=13πr2hcm3
The conical container full of water which is poured into cylindrical container of radius mr
Then volume of cylindrical container=π(mr)2H( where H is the height of cylindrical container)
∴π(mr)2H=12πr2h⇒H=h3m2
Then height of cylindrical container=h3m2
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