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Mathematics

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

  1. 2

  2. 3

  3. 4

  4. 5

Mensuration

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Answer

Volume of cone = 13πr2h\dfrac{1}{3}π \text{r}^2 \text{h}

Volume of cylinder = πr2h

Let the number of cones required be n.

∴ Volume of cylinder = n × Volume of cone

⇒ πr2h = n × 13πr2h\dfrac{1}{3}π \text{r}^2 \text{h}

⇒ 3 × πr2h = n × πr2h

∴ n = 3

Hence, option 2 is the correct option.

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