There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.
Mensuration
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Question

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.

KnowledgeBoat · Accepted Answer

Let curved surface area of 1st cone be twice than that of 2nd cone. For 1st cone, ⇒ Slant height (l₁) = l ⇒ Radius = r₁ ⇒ Curved surface area (C₁) = 2C .........(1) For 2nd cone, ⇒ Slant height (l₂) = 2l ⇒ Radius = r₂ ⇒ Curved surface area (C₂) = C .........(2) Dividing equation (1) by (2), we get : ⇒ r₁ : r₂ = 4 : 1. Hence, ratio of radii = 4 : 1.

Mathematics

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.

Mensuration

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