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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



Curved surface area/Total surface area = 2πr (r + h)/2rh

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)
(after calculating)

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

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

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

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