26. A solid is in the shape of a cone andmounted on a hemisphere of sa

1.	26. A solid is in the shape of a cone andmounted on a hemisphere of same baseradius. If the curved surface areas of thehemispherical part and the conical partare equal, then find the ratio of the radiusand the height of the conical part.
Answer» Let radius ( r ) = x l = 2x h =√ l² - r² h =√ ( 2x )² - x² h =√ 3x² h =√3 x ∴ Ratio of r and h = x :√3 x r : h = 1 :√3

26. A solid is in the shape of a cone andmounted on a hemisphere of same baseradius. If the curved surface areas of thehemispherical part and the conical partare equal, then find the ratio of the radiusand the height of the conical part.

Answer»

Let radius ( r ) = x

l = 2x

h =√ l² - r²

h =√ ( 2x )² - x²

h =√ 3x²

h =√3 x

∴ Ratio of r and h = x :√3 x

r : h = 1 :√3