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]
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1.53 litres
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Understanding |
Application |
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The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. |
We have: r = h/2 So, 2πrh + πr2 = 616 π × (2 × h/2 × h + h2/4) = 616 22/7 × (h2 + h2/4) = 616 5h2/4 = 196 h2 = 784/5 h = 28/√5 |
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Volume of cylinder = πr2h |
So, Volume of the container = π × h2/4 × h = 22/7 × h3/4 = 22/7 × (28)3/(5√5 × 4) = (22 × 28 × 28 × √5)/25 = (22 × 28 × 28 × 2.23)/25 × 103 litres = 1.53 litres |