A hemispherical bowl of internal diameter 18 cm contains water This water is to be filled in cylindr...........

Quantitative Aptitude (CPO) Mensuration 3D

A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6cm

and height 3 cm. The number of bottles required to empty the bowl is:

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 2

- The volume of the hemispherical bowl = (1/2) × (4/3) × p × (radius)³

- Internal diameter = 18 cm ? radius = 9 cm

- Volume = (1/2) × (4/3) × p × 9³ = (2/3) × p × 729 = 486p cm³

- The volume of one bottle = p × (radius)² × height

- Diameter = 6 cm ? radius = 3 cm, height = 3 cm

- Volume = p × 3² × 3 = p × 9 × 3 = 27p cm³

- Number of bottles = Volume of bowl / Volume of bottle = (486p) / (27p) = 18

- Option 1 (3 bottles), Option 3 (6 bottles), and Option 2 (9 bottles) are too low, as calculated above.

- Option 4 (18 bottles) is correct.

Option:4-18 is the right answer.

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