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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 - Mathematics

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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

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 19: Volume and Surface Area of Solids - Multiple Choice Questions [Page 927]

APPEARS IN

RS Aggarwal Mathematics [English] Class 10
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 80 | Page 927

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