Question 93

If the volume of a cylinder is 2156 cubic cm and height is 14 cm, find its radius?

Solution

Let radius = $$r$$ cm and height = 14 cm

Volume of cylinder = $$\pi r^2 h = 2156$$

=> $$\frac{22}{7} \times (r)^2 \times 14 = 2156$$

=> $$22 \times (r)^2 \times 2 = 2156$$

=> $$(r)^2 = \frac{2156}{44} = 49$$

=> $$r = \sqrt{49} = 7$$ cm

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