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

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 $=\pi r^{2} h$

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

 

 

Solution:

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

Curved surface area of a cone $=\pi r \sqrt{r^{2}+h^{2}}$

$=\pi \times 3 \times \sqrt{(3)^{2}+(4)^{2}}$

$=\pi \times 3 \times \sqrt{9+16}$

$=\pi \times 3 \times \sqrt{25}$

$=15 \pi \mathrm{cm}^{2}$

Hence, Assertion (A) is true.

Reason (R): The given statement is false.

 

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