How many metallic spheres each of diameter 6 cm can be melted to mould into a solid cylinder of diam...........

Quantitative Aptitude (CPO) Mensuration 3D

How many metallic spheres, each of diameter 6 cm can be melted to mould into a solid cylinder of diameter 8 cm and height of

18 cm?

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 1

Let’s break this down:

- Each metallic sphere has a diameter of 6 cm, so its radius is 3 cm.

- The volume of one sphere = (4/3)pr³ = (4/3)p(3)³ = 36p cm³.

- The cylinder you want to get has a diameter of 8 cm, so its radius is 4 cm.

- Volume of the cylinder = pr²h = p(4)²(18) = 288p cm³.

- To find the number of spheres: total cylinder volume divided by one sphere’s volume ? 288p / 36p = 8.

So, option 3 (8) is correct.

Option:3 (8) is the right answer.

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