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A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of the two parts are equal, then the ratio of its radius and the slant height of the conical part is ____ . [Foreign 2011]

A solid is hemispherical at the bottom and
conical (of same radius) above it. If the surface areas of the two parts are equal, then the ratio of its radius and the slant height of the conical part is ____ . [Foreign 2011]

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60782 Points
one year ago
Answer: Explaination: C.S.A of conical part = C.S.A. of spherical part πrl = 2πr² l = 2r ⇒ 12 = rl ⇒ r : l = 1 : 2

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