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Q.

If the slant height and the radius of the base of a right circular cone are ‘H’ and ‘ $r$ ’ respectively then the ratio of the areas of the lateral surface and the base is

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a

H : r

b

H² : r²

c

H : 2r

d

2H : r

answer is B.

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Detailed Solution

Question Image

When slant height H and radius $r$

Lateral surface area $= π r H$

Area of the base $= π r^{2}$

Ratio of L.S.A to base area $= π r H : π r^{2} = H : r$

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If the slant height and the radius of the base of a right circular cone are ‘H’ and ‘r ’ respectively then the ratio of the areas of the lateral surface and the base is