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Assertion (A): If we join two hemispheres of same radius along their bases, then we get 5 sphere. Reason (R): Total Surface Area of a sphere of radius r is 3rr2. - Mathematics

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Question

Assertion (A): If we join two hemispheres of same radius along their bases, then we get a sphere.

Reason (R): Total Surface Area of a sphere of radius r is 3rr2.

Options

  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

  • Assertion (A) is true, but Reason (R) is false.

  • Assertion (A) is false, but Reason (R) is true.

MCQ
Assertion and Reasoning

Solution

Assertion (A) is true, but Reason (R) is false.

Explanation:

A sphere can be formed by joining two hemispheres of the same radius along their bases. 

The formula given for the total surface area of a sphere is 3πr2, which is incorrect. The correct formula is 4πr2.

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