A hemispherical bowl of internal radius 6 cm contains a liquid This liquid is to be filled into cyli...........

Quantitative Aptitude (CPO) Mensuration 3D

A hemispherical bowl of internal radius 6 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of

diameter 2 cm and height 4 cm. How many bottles will be needed to empty the bowl?

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 2

- Calculate the volume of the hemispherical bowl.

- The formula for the volume of a hemisphere is \(\frac{2}{3} \pi r^3\).

- With a radius of 6 cm, the volume is \(\frac{2}{3} \times \pi \times 6^3 = 144\pi\) cubic cm.

- Calculate the volume of one cylindrical bottle.

- The volume of a cylinder is \(\pi r^2 h\).

- The radius of the bottle is 1 cm (diameter is 2 cm) and height is 4 cm.

- So, the volume is \(\pi \times 1^2 \times 4 = 4\pi\) cubic cm.

- Find out how many bottles needed to empty the bowl.

- Divide the volume of the bowl by the volume of one bottle: \(\frac{144\pi}{4\pi} = 36\).

- Option 4: 36 is the answer.

- Answer: Option 4 - 36

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