Question

the curved surface of a cylindrical pillar is 264 m square and it's volume is 924 m cube. the ratio of its diameter to its height is

Answer 1

Curved surface area of cylinder =264m square m
2πrh=264
Volume of cylinder =924cube m
$\pi {r}^{2} h = 924 {m}^{3}$
$radius \: of \: cylinder = \frac{volume}{curved \: surface \: area} \\ = \frac{924}{264} \\ = \frac{7}{2} \\ \frac{r}{2} = \frac{7}{2} \\ r = 7 \\ d = 2r \\ d = 2 \times 7 \\ d = 14 \\ 2\pi \: r \: h = 264 \\ 2 \times \frac{22}{7} \times 7 \times h = 264 \\ h = \frac{264}{44} \\ h = 6 \\ ratio = \frac{d}{h} \\ = \frac{14}{6}$
Ratio=7:3.
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