If the radius and slant height of a cone
are in the ratio 7:13 and its curved
surface area is 1144 sq.cm, find its
radius.
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The radius and slant height of a right circular cone are in the ratio of 7: 13 and its curved surface area is 286 cm2. Find its radius.
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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
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