The ratio of the curved surface area to the total surface area of a right circular cylinder is 1 3 F...........

Quantitative Aptitude (CGL) Mensuration 3D

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

2474

2695

3125

4312

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Explanation:

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