Class X Session 2023-24 Question 19

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 MATH SAMPLE QUESTION PAPER

Class X Session 2023-24

MATHEMATICS STANDARD (Code No.041)

Question 19


DIRECTION: In the question number 19 and 20, a statement of assertion (A) is followed by a statement of Reason (R). Choose the correct option

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. 

Explanation : 

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

Statement A (Assertion) is true because the total surface area of the top is indeed the sum of the curved surface area of the hemisphere and the curved surface area of the cone

Statement R (Reason) is also true; however, it does not correctly explain assertion (A). The top is obtained by joining the plane surfaces of the hemisphere and cone together, but this fact alone does not fully explain why the total surface area of the top is the sum of the curved surface areas of the hemisphere and cone. Other factors, such as the geometric properties of the shapes, contribute to this relationship.

Guess the Option and comment below   👇

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