Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: Assertion (A): The curved surface area of a cone of base radius 3 cm and height 4 cm is (15π) cm 2 . Reason (R): Volume of a cone = πr 2 h.

Question

Philoid · Accepted Answer

Assertion is correct and Reason is Wrong.

Explanation:

Assertion (A):

Given: A cone of radius 3cm and height 4cm.

CSA of the cone is given by: πrl (here r is radius and l is slant height)

l = √(h² + r²)

Let S be the CSA of the cone

∴ S = πrl = π × r × √(h² + r²)

⇒ S = π × 4 × √(4² + 3²) = π × 3 × √(16 + 9) = π × 3 × √(25) = π × 3 × 5 = 15π

∴ S =15π

Reason (R):

Volume of a cone is : πr²h

∴ Assertion is correct and Reason is Wrong.

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: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.

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:
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.