Question

The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, the ratio of their curved surface areas, is
A. 4 : 5
B. 25 : 16
C. 16 : 25
D. 5 : 4

Answer 1

Answer:

ANSWER

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, $$l₁ : l₂ = 5 : 4$$

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.

$$\frac { l₁ }{ l₂ } =\frac { 5 }{ 4 } $$

So, the ratio of the curved surface area of two cones is 5: 4.

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