STATEMENT - 1 : The volume of largest sphere that can be carved out from cube of side a cm is 16πa3 STATEMENT - 2 : Volume of sphere is 43πr3 and for largest sphere to carved from cube radius of sphere = side of cube
A
Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
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B
Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
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C
Statement - 1 is True, Statement - 2 is False
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D
Statement - 1 is False, Statement - 2 is True
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Solution
The correct option is C Statement - 1 is True, Statement - 2 is False
Statement 1:
Edge of cube=acm
Radius of sphere=a2
∴Volume of sphere=43πr3=42×π×a2×a2×a2
=16πa3
Statement 2: Radius of sphere=12×side of cube
Therefore statement 1 is true but statement 2 is false.