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The volume and the curved surface area of cylinder are 1650 cm3 and 660 cm2 respectively. Find the radius and height of the cylinder.

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Given,

Volume of cylinder = 1650 cm3

Curved surface area = 660 cm2

So,

\(\frac{volume\,of\,cylinder}{curved\,surface\,area}\) = \(\frac{1650}{660}\)

\(\frac{πr^2h}{2πrh}\) = \(\frac{5}{2}\)

\(\frac{r}{2}\) = \(\frac{5}{2}\) = r = 5 cm

We have,

Surface area = 660 cm2

= 2πrh = 660

= h = \(\frac{660}{2πr}\) = \(\frac{660\times 7}{2\times 22\times 5}\) = 21 cm

Radius = 5 cm, height = 21 cm

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