#### Question

The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surfaces.

#### Solution

Given that,

Diameters of two cones are equal

∴ Their radius are also equal i.e., `r_1=r_2`

Let the ratio of slant height be x

∴` l_1=5x and l_2=4x`

∴ Ratio of curved surface area =`C_1/C_2`

∴ `C_1/C_2=(pir_1l_1)/(pir_2l_2)=(pir_1sx)/(pir_2(4x)=)5/4`

∴ Ratio of curved surface area = 5:4

Is there an error in this question or solution?

Solution The Diameters of Two Cones Are Equal. If Their Slant Heights Are in the Ratio 5 : 4, Find the Ratio Of Their Curved Surfaces. Concept: Surface Area of a Right Circular Cone.