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Question

A hollow sphere of internal and external radii 3 cm and 4 cm respectively is melted into a cylinder of diameter 37 cm. The height of the cylinder is

A
2 cm
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B
2.5 cm
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C
3 cm
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D
none
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Solution

The correct option is C none
We have,
R=4 cm,r=3 cm

So, the volume of the hollow sphere
=43π(R3r3)
=43π(4333)
=43π(6427)
=43π×37 ........(1)

Since, the radius of the cylinder =372 cm

Therefore, the volume of the cylinder = volume of the hollow sphere
π372×372×h=43π×37
372×12×h=43
h=16111
h=0.144 cm

Hence, this is the answer.

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