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A right circular cylindrical vessel is full of water. How many right cones having the same radius and height as those of the right cylinder will be required to store that water?

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answer is B.

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Detailed Solution

Given a right circular cylinder full of water.
Volume of cone,

V = π r 2 h 3

Here, r is radius, h is height.
Volume of cylinder,

V = π r 2 h

Here, r is radius and h is height.
Suppose the radius and height of the cone be

r

and

h

, respectively and then the radius of the cylindrical vessel

= r

, the height of the cylindrical vessel

= h

The number of cones

= Volume of the cylindrical vessel V o l u m e of a cone

⇒ π r 2 h π r 2 h 3

⇒ 3

Hence, the number of cones that will be needed to store the water is 3.
Therefore, option (2) is correct.

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