Question 19 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

Statement A (Assertion):
Total Surface area of the top is the sum of the curved surface area of the hemisphere and the curved surface area of the cone.

Statement R (Reason)
:
Top is obtained by joining the plane surfaces of the hemisphere and cone together.

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

(b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

(c) Assertion (A) is true but reason (R) is false.

(d) Assertion (A) is false but reason (R) is true

Transcript

Checking Assertion
It is given that total surface area of the top is the sum of the curved surface area of the hemisphere and the curved surface area of the cone.
Total surface area of the top
= CSA of hemisphere + CSA of cone
Hence, the Assertion is true
Checking Reason
It is given that top is obtained by joining the plane surfaces of the hemisphere and cone together, which is true.
Thus, Reason is true.
Is Reason correct explanation for Assertion?
Since the top is obtained by joining hemisphere and Cone together, we can calculate its area by adding Curved surface area of both cone and hemisphere.
Therefore, Reasoning is a correct explanation for Assertion
So,
Assertion is true
Reasoning is true
But, Reasoning is a correct explanation for Assertion
So, the correct answer is (a)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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