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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Question

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.

KnowledgeBoat · Accepted 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.

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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