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Question

12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is:



Your Answer
A

3 cm

Your Answer
B

2 cm

Your Answer
C

3 cm

Correct Answer
D

4 cm


Solution

The correct option is D

4 cm


Volume of the cylinder=πr2h=π×82×2=128π cm3
 Volume of one sphere=Volume of the cylinder12
43πr3=12812πr3=8r=2 cm
Diameter of the sphere=4 cm

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