Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The integral &iiint; (x 2 + y 2 + z 2 ) dx dy dz taken over the volume enclosed by the sphere x 2 + y 2 + z 2 = 1 is 4π 5 . Reason R: ∫ 0 1 ∫ 0 1 x dx dy = 1 2 . In the light of the above statements, choose the most appropriate answer:

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Mathematics · Multiple Integrals

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Both A and R are correct but R is NOT the correct explanation of A

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Answer 1

A is not correct but R is correct

Answer 2

A is correct but R is not correct

Answer 3

Both A and R are correct but R is NOT the correct explanation of A

Answer 4

Both A and R are correct and R is the correct explanation of A

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