The radius and height of a cylinder are in the ratio $2:3$. If its CSA is $1848 ext{ cm}^{2}$, find its radius. Use $\pi=\dfrac{22}{7}$.

Question

The radius and height of a cylinder are in the ratio $2:3$. If its CSA is $1848 	ext{ cm}^{2}$, find its radius. Use $\pi=\dfrac{22}{7}$.

Aicharya · Accepted Answer

Let $r = 2k, h = 3k$. CSA $= 2\pi r h = 2 	imes \dfrac{22}{7} 	imes 2k 	imes 3k = \dfrac{264 k^{2}}{7} = 1848 \Rightarrow k^{2} = 49 \Rightarrow k = 7$. So $r = 14$ cm.

The radius and height of a cylinder are in the ratio $2:3$. If its CSA is $1848 \text{ cm}^{2}$, find its…

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