Take π = 22/7 unless stated otherwise.
Write whether the following statements are true or false. Justify your answer.
A cylinder and a right circular cone are having the same base radius and same height. The volume of the cylinder is three times the volume of the cone.
Solution:
Assume that a cone has a height of "h" and a circular base with radius "r." This cone will have a volume that is one-third of the product of the base's area and its height.
Radius of cylinder = radius of cone
Height of cylinder = height of cone
Volume of cylinder =π r2h
Volume of cone = (1/3)π r2h
The volume of the cylinder is three times the volume of the cone.
So given statement is true.
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