Question 107

The perimeter of the base of a right circular cylinder is ‘a’ unit. If the voltime of the cylinder is V cubic unit, then the height of the cylinder is

Solution

Perimeter of base = $$2 \pi r = a$$

=> $$r = \frac{a}{2 \pi}$$

Volume of cylinder = $$\pi r^2 h = V$$

=> $$\pi (\frac{a}{2 \pi})^2 h = V$$

=> $$a^2 h = 4 \pi V$$

=> $$h = \frac{4 \pi V}{a^2}$$


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