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Assertion (A) The curved surface volume of a cone of base radius 3 cm and height 4 cm is (15π) cm^2. Reason (R) Volume of a cone = πr^2h.

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Question

Assertion (A) Reason (R)
The curved surface volume of a
cone of base radius 3 cm and
height 4 cm is (15π) cm2.
Volume of a cone = πr2h.

Options

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

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

  • Assertion (A) is true and Reason (R) is false.

  • Assertion (A) is false and Reason (R) is true.

MCQ
Assertion and Reasoning
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Solution

Assertion (A) is true and Reason (R) is false.

Explanation:

Assertion (A):

Curved surface area of a cone `=pisqrt("r"^2 + "h"^2 )`

`= pixx3xxsqrt((3)^2 + (4)^2)`

`=pixx3xxsqrt(9+16)`

`=pixx3xxsqrt(25)`

= 15π cm2 

Hence, Assertion (A) is true.

Reason (R): The given statement is false.

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Chapter 17: Volumes and Surface Areas of Solids - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 839]

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10
Chapter 17 Volumes and Surface Areas of Solids
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 80. | Page 839
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