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 August 6, 2026 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.
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)
Made by
Davneet Singh
Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.
Many students prefer Teachoo Black for a smooth, ad-free learning experience.
It looks like you're using AdBlock
Don't be a miser! Join Teachoo Black at ₹19 only to view the ad-free version of Teachoo.
Please login to view more pages. It's free :)
Teachoo gives you a better experience when you're logged in. Please login :)
You are here
![[Assertion Reasoning] Assertion: Total Surface area of the top is the - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard](https://cdn.teachoo.com/2c41138b-e437-446a-a599-d2a0ed88373e/slide41.jpg)
![part 2 - Question 19 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10](https://cdn.teachoo.com/ccb1475c-8801-49fd-964a-55e24457aac6/slide42.jpg)
![part 3 - Question 19 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10](https://cdn.teachoo.com/4250d71f-8e3a-46f1-bfbd-1b101d7f252d/slide43.jpg)
![part 4 - Question 19 [Assertion Reasoning] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10](https://cdn.teachoo.com/66fae4dc-107e-4280-9285-9990f8a9e9a8/slide44.jpg)
