Question

the diameter of two cones are equal.if there slant heights are in the ratio 7:4,find the ratio of curved surface area​

Answer 1

Since the diameters of two cones are equal, their radius will also be the same.

Let the slant height of the two cones be l₁ and l₂ respectively.

Therefore,

l₁ : l₂ = 7 : 4

The curved surface area of the two cones are 

πrl₁ and πrl₂

So, the ratio of their curved surface area are

πrl₁/πrl₂

π and r are cancelled.

⇒ l₁/l₂ = 7/4

So, the ratio of the curved surface area of two cones is 7 : 4

Answer.

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Answer 2

Answer:

Solution:-

Since the diameters of two cones are equal, their radius will also be the same.

Let the slant height of the two cones be l₁ and l₂ respectively.

Therefore,

l₁ : l₂ = 7 : 4

The curved surface area of the two cones are 

πrl₁ and πrl₂

So, the ratio of their curved surface area are

πrl₁/πrl₂

π and r are cancelled.

⇒ l₁/l₂ = 7/4

So, the ratio of the curved surface area of two cones is 7 : 4

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