A cylindrical vessel with radius 17.5 cm and height 18 cm is filled to 80% of its capacity with milk. If all the milk is transferred into 30 cuboidal vessels whose length and breadth are 7 cm and 3 cm respectively, find the height of each cuboidal vessel.

18 cm
25 cm
23 cm
20 cm

Correct answer: 20 cm

Solution

The cylinder’s full volume is \(\pi r^2 h = \pi \times 17.5^2 \times 18\). Only 80% of this is milk. That volume is distributed equally among 30 cuboids of base area 7 × 3, giving height 20 cm.

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