Question

In a cone, the ratio of radius to slant height is 7 : 13. Its curved surface area is 1144cm². Find the radius..

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Answer 1

Answer:

Let r/1 = 7/13x

Curved surface area CSA=286 cm2

But CSA=πrl

∴286 = 22/7 × 7x × 13x

or x2 = 286/22×13 = 1

or x = 1

∴ r=7 cm

∴ Diameter d=14 cm

Step-by-step explanation:

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Answer 2

Answer:

Let r/1 = 7/13x

Curved surface area CSA=286 cm2

But CSA=πrl

∴286 = 22/7 × 7x × 13x

or x2 = 286/22×13 = 1

or x = 1

∴ r=7 cm

∴ Diameter d=14 cm