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Question
A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.
Options
True
False
Solution
This statement is True.
Explanation:
We consider that the radius of the base of a cylinder and a right circular cone be r and height be h.
So, The formula of volume of a cylinder = `pir^2h`
The formula of volume of a cone = `1/3 pir^2h`
Since, Volume of a cylinder = 3 × Volume of a cone
Therefore, the volume of a cylinder is three times the volume of the right circular cone.
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`( π = 22/7 ) and sqrt 17.37 = 4.17`