Two similar cylindrical jugs have heights 5 cm and 8 cm respectively If the capacity of the smaller ...........

Quantitative Aptitude (MTS) Mensuration 3D

Two similar cylindrical jugs have heights 5 cm and 8 cm, respectively. If the capacity of the smaller jug is 64 cm³ , what is the

capacity ( correct to 2 decimal places, in cm³ ) of the larger jug?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-2

262.14

102.40

294.54

163.84

- The volume of a cylinder depends on the square of its radius and its height.

- Given two similar cylinders, the ratio of their volumes is equal to the cube of the ratio of their heights.

- Heights given are 5 cm (smaller jug) and 8 cm (larger jug).

- Capacity of smaller jug = 64 cm³.

- Volume ratio = (height of larger jug / height of smaller jug)³ = (8/5)³ = 512/125.

- Volume of larger jug = volume of smaller jug × volume ratio = 64 cm³ × 512/125 = 262.14 cm³.

Option:1, 262.14

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