Question

# The curved surface area of a cylindrical pillar is $$264$$ m$$^2$$ and its volume is $$924$$ m$$^3$$. Find the diameter.

Solution

## $$V = \pi r^{2}h$$ & $$CSA = 2\pi rh$$$$\Rightarrow \dfrac{V}{(CSA)} = \dfrac{\pi r^{2}h}{2 \pi rh} = \dfrac{r}{2} \Rightarrow d = 4\times \dfrac{924}{264}$$$$\Rightarrow \boxed{d = 14}$$ Mathematics

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