Multiple choice

The radius of the cylinder is half its height and area of the inner part is 616 sq. cms. How many litres of milk approximately, can it contain?

  1. 1.4 L

  2. 1.5 L

  3. 1.7 L

  4. 1.9 L
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Let the radius be r and height be 2r. The total inner surface area of a cylinder open at the top is (pi * r^2 + 2 * pi * r * 2r) = 5 * pi * r^2, which equals 616. Solving gives r^2 = 616 / (5 * 22/7) = 39.2, so r is approximately 6.26 cm. The volume is pi * r^2 * 2r = 2 * 22/7 * 39.2 * 6.26 = 1542.6 cubic cm, which is approximately 1.5 litres. The cylinder can contain 1.5 L of milk.

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