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Assertion (A) the Curved Surface Area of a Cone of Base Radius 3 Cm and Height 4 Cm is 15π Cm2.\ Reason (R) Volume of a Cone = πR2h

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Question

Assertion (A)
The curved surface area of a cone of base radius 3 cm and height 4 cm is 15π cm2.\

Reason (R)
Volume of a cone = πr2h

  1. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
  3. Assertion (A) is true and Reason (R) is false.
  4. Assertion (A) is false and Reason (R) is true.
Sum
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Solution

Assertion (A) is true and Reason (R) is false.
Assertion (A):
Curved surface area of a cone `=pisqrt("r"^2 + "h"^2 )`

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

`=pixx3xxsqrt(9+16)`

`=pixx3xxsqrt(25)`

= 15 π cm2 

Hene, 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 [Page 927]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 17 Volumes and Surface Areas of Solids
Multiple Choice Questions | Q 80 | Page 927
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