Question 91

If both the radius and height of a cylinder increase by 10%, then its volume increases by

Solution

Original Volume V = $$\pi\ \cdot r^2\cdot h$$

New Volume = $$\pi\ \cdot\left(1.1r\right)^2\cdot\left(1.1\right)h$$ = $$1.331\cdot\pi\ \cdot\left(r\right)^2\cdot h$$ = $$1.331V$$

Hence, the volume increases by 33.1%

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AP ICET 16th May 2016

If both the radius and height of a cylinder increase by 10%, then its volume increases by

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