Q.If the curved surface area of a right circular cylinder is 264 square meters and its volume is 924 cubic meters, then what is the radius of the base?

Let the radius of the base of the right circular cylinder be \(r\) meters and the height be \(h\) meters. Curved surface area: \(2\pi r h = 264 \)  ———(i) Volume: \(\pi r^2 h = 924 \)  ———(ii) Dividing equation (ii) by equation (i), we get: \(\frac{\pi r^2 h}{2\pi r h} = \frac{924}{264}\) ⇒ \(\frac{r}{2} = \frac{7}{2}\) ⇒ \(r = 7\) ∴ The radius of the base of the cylinder is 7 meters.
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