Question

cone height is 15 cm diameter8 cm find csa of cone
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Answer 1

Check the picture attached.

Hope it helps!

Answer 2

Concept: This is the question from the Mensuration topic. Here we asked about the curved surface area of a cone:

We find the CSA following formula

Curved Surface Area of Cone = $\pi rl+\pi r^{2}$

Given: Height of Cone= 15 cm

Diameter of Cone= 8 cm

To find: Curved surface Area of a cone?

Solution:

Now diameter is 8 cm then radius= 4 cm

height = 15

Slanting line (l)= $\sqrt{4^{2}+15^{2} }$

                       $=$ $\sqrt{16+225}$

                       $= \sqrt{241}$ cm

The curved surface area of cone= $\pi rl+\pi r^{2}$

                                                      = $\pi r(l+r)$

                                                      = 4$\pi (\sqrt{241} +4)$ $cm^{2}$

hence CSA of the cone= $4\pi ( \sqrt{241} +4) cm^{2}$a