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  1. 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 : √5 = 2.23 and π = 22/7]
    1. 1.42 litres
    2. 1.53 litres
    3. 1.71 litres
    4. 1.82 litres
Correct Option: B

Surface area of milk pot. = 2πrh + πr² = πr(2h + r)

=
πh
2h +
h
=
5πrh²
cu.cm.
224

5
×
22
× h² = 616
47

⇒ h² =
616 × 4 × 7
=
28 × 28
5 × 225

∴ Volume of milk = πr²h
=
22
×
× h
74

=
22
×
28 × 28 × 28
× h
285 × √5

=
22 × 28 × 28 × √5
×
22 × 28 × 28 × 2.23
× h
2525

= 1538.5 cu. cm.
= 1.54 litres
= 1.53 litres (Approx.)



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