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A Right Cylindrical Vessel is Full of Water. How Many Right Cones Having the Same Radius and Height as Those of the Right Cylinder Will Be Needed to Store that Water? - Mathematics

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प्रश्न

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

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उत्तर

Let the radius and height of the cone be r and h , respectively. Then,

Radius of the cylindrical vessel = r and 

Height of the cylindrical vessel = h

Now,

The number of cones `= "Volume of the cylindrical vessel"/"Volume of a cone"`

`=(pi"r"^2"h")/((1/3 pi"r"^2"h"))`

= 3 

So,  the number of cones that will be needed to store the water is 3.

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पाठ 19: Volume and Surface Area of Solids - Exercise [पृष्ठ ९१५]

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 19 Volume and Surface Area of Solids
Exercise | Q 13 | पृष्ठ ९१५

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