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Q.

The lateral surface area of a cylinder is equal to the curved surface area of a cone. If the radius be the same, then the ratio of the height of the cylinder and slant height of the cone is

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a

$1 : 3$

b

$2 : 1$

c

$1 : 2$

d

$2 : 3$

answer is B.

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Detailed Solution

Given that L.S.A of cylinder = CSA of cone

$2 π r h = π r l \Rightarrow 2 h = l \Rightarrow \frac{h}{l} = \frac{1}{2}$

$h : l = 1 : 2$

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