The radius of a cylindrical milk container is half its height and surface area of the inner part is ...........

Quantitative Aptitude (CGL) Mensuration 3D

The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : v5 = 2.23 and p = 22/7 ]

1.42 litres

1.53 litres

1.71 litres

1.82 litres

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Explanation:

Volume of cylinder = πr2h
v = πr^2(2r) = 2 πr^3 (? = 2r )
Curve Surface area = 2 π rh
= 2 π r (2r) = 4 πr^2
4 πr^2 = 616
r^2 = 49 => r = 7
∴ V = 2 π (7)^3 = 2156 cm^3
=1.53 litres