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Question

The volume of material required to be extracted from a sphere of radius 4 cm to create a shell of radius 1 cm =  cm 3.


A
264
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B
288
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C
464
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D
512
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Solution

The correct option is A 264
The volume of a sphere = 43×π×radius3.
Hence, the volume of material required to be extracted = Volume of sphere of radius 4 cm - Volume of sphere of radius 1 cm =  43×π×(4)343×π×(1)3 = 264 cm 3.

Mathematics

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