Question

the radius of two cones are equal and the ratio of their slant heights are in the ratio 3:2 then find ratios of their curved surface areas

Answer 1

l : L = 3 : 2
CSA of Cone 1 = C1 = π *r * l
CSA of Cone 2 = C2 = π *r * L

Ratio of CSA = C1 / C2 = π *r * l / π *r * L = l /L = 3/2 = 3:2

THe ratio of CSA OF GIVEN CONES IS 3:2

Answer 2

Answer:- The ratio of the curved surface areas of the given cones will be = 3:2

Given in the question that:-

The radius of the two cones is equal.

And the ratio of their slant heights is = 3:2

We need to find is the ratio of the given cone's curved surface area.

The solution is:-

The ratio of two cones are equal, i.e., r = r

The formula of curved surface of the cone is = $\pi rl$

The ratio of their curved surface areas are = The curved surface are of one cone : The curved surface are of the other cone

                                                                        $= \pi rl : \pi rl\\=\pi r*3 : \pi r*2\\ = 3 : 2$

Therefore, the ratio of the curved surface is of the given two cones is = 3:2

To know more about the topic go through the following links

Link1:- https://brainly.in/question/15838195?

Link2:- https://brainly.in/question/2553692?

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