Mathematics
The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surface areas.
Mensuration
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Answer
Given, ratio of slant height = 5 : 4
Let slant height of 1st cone be 5x cm and 2nd cone be 4x cm.
For 1st cone,
⇒ Diameter = d1
⇒ Radius = r1
⇒ Slant height (l1) = 5x
For 2nd cone,
⇒ Diameter = d2
⇒ Radius = r2
⇒ Slant height (l2) = 4x
Given,
⇒ d1 = d2
∴ r1 = r2.
Hence, ratio of curved surface areas = 5 : 4.
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