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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration
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Take π = 22/7 unless stated otherwise.
Write whether the following statements are true or false. Justify your answer.
If the radius of a right circular cone is halved and its height is doubled, the volume will remain unchanged.
Answer:
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.
Volume of cone = (1/3)π r2h
If radius is halved and height is doubled, then volume = (1/3)π (r/2)2 2h = (1/3)π r2h/2
If the radius of a right circular cone is halved and its height is doubled, the volume will be halved.
So given statement is false.
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