Question

the curved surface area of cylinder is 1760 CM square and its volume is 24640 cm cube find its height

Answer 1

Heyy friend your answer is here...
$curved \: surface \: area \: of \: cylinder = 1760cm \\ 2\pi \: rh = 1760 \\ \pi \: rh = \frac{1760}{2} \\ \pi \: rh = 880 \\ h = \frac{880}{ \pi \: r} ........(i)\\ volume \: of \: cylinder = 24640 \\ \pi \: {r}^{2} h = 24640 \\ \pi {r}^{2} \times \frac{880}{\pi \: r} = 24640 \: ....(from \: i) \\ r \times 880 = 24640 \\ r = \frac{24640}{880} \\ r = 28cm \\ therefore \\ \: h = \frac{880}{\pi \: r} \\ = \frac{880 \times 7}{28 \times 22} \\ = \frac{6160}{616} \\ = 10cm \\ height = 10cm$