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The ratio of the curved surface area to the total surface area of a right circular cylinder is 1:3. Find the volume of the cylinder if its total surface area is 1848cm^2

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by Sam15

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by Sam15

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=>1/3=2πr (r + h)/2πrh

=>r=2h (after calculating)

Total surface area is 1848cm^2

=>2πr (r + h) = 1848cm^2

=>2π x 2h x(2h+h) = 1848cm^2 (r=2h)

=>h^2=49

=>h=7 (after calculating)

if h=7cm than r = 2x7=14cm

Volume of cylinder = πr^2h=(22/7) x (14)^2 x 7 = 4312cm^3 (ans)

cancelling we get,

h+r =3 h

r =3h-h

r = 2h.....(1)

tsa of cylinder = 1848

putting value of r we get,

solving this we get,

h = 7

and r = 2*7 = 14

then

volume of cylinder =

by subtituting values and further solving it we get volume of cylinder =4312