Multiple choice

The radius of two spheres are in the ratio $5:7$. The volume of the spheres will be in the ratio $25:49$

  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

  2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

  3. Assertion is correct but Reason is incorrect

  4. Both Assertion and Reason are incorrect
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

The assertion states the volumes will be in the ratio of 25:49, which is incorrect because the volume of a sphere is proportional to the cube of its radius. Cubing the given radius ratio of 5:7 results in a volume ratio of 125:343. Since the provided volume ratio of 25:49 represents the square of the radii instead of the cube, both the assertion and reason are incorrect.

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