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Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled. - Mathematics

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Question

Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled.

Sum

Solution

∵ Volume of a cylinder = πr2h

Where, h is height and r is radius of base of the cylinder.

If height is double i.e. h = 2 × h = 2h

Then, its volume = πr2 × 2h

= 2πr2h

Hence, volume became double of original volume.

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Chapter 11: Mensuration - Exercise [Page 356]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise | Q 92. (a) | Page 356

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