Question

6. A right cylindrical vessel is full of water. How many right cones having same radius and height as those of the right cylinder will be needed to store that water?2345

Answer 1

Heya

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Hope this will help u

Answer 2

3 cone will be required to store water as that of right cylinder.

Step-by-step explanation:

Given:

Let radius be denoted by 'r'.

and height be denoted by 'h'

Now given radius of cone is equal to radius of cylinder.

Also given height of cone is equal to height of cylinder.

we need to find number of cones which need to be filled with water as in the cylindrical vessel.

Now we can say

number of cones will be needed to be filled with water as that in the cylindrical vessel can be calculated by dividing volume of cylinder by volume of cone.

Volume of cylinder = $\pi r^2h$

And Volume of Cone = $\frac{1}{3}\pi r^2h$

number of cones =$\frac{\textrm{Volume of Cylinder}}{\textrm{Volume of Cone}}$

number of cones =$\frac{\pi r^2h}{\frac{1}{3}\pi r^2h} = 3$

Hence 3 cone will be required to store water as that of right cylinder.