Question : A right cylindrical vessel is full of water. How many right cones with the same diameter and height as the right cylinder will be needed to store that water? (Take $\pi =\frac{22}{7}$ )
Option 1: 4
Option 2: 2
Option 3: 3
Option 4: 5
Correct Answer: 3
Solution :
Given: The right cone has the same diameter and height as that of the right cylinder.
Let the radius and height of the vessel be $r$ and $h$.
Volume of cylindrical vessel = $\pi r^2h$
Volume of cone = $\frac{1}{3}\pi r^2h$
So, number of cones = $\frac{\pi r^2h}{\frac{1}{3}\pi r^2h}$ = 3
Hence, the correct answer is 3.
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