Question

If the base radius and height of a cone are equal. Then find the ratio between radius with slant height

Answer 1

Answer:

ratio of radius to slant height: 1:$\sqrt{2}$

Step-by-step explanation:

Given r=h (i)

l = (h^2 + r^2)^(1/2)

l=(2r^2)^(1/2)

l=+-$\sqrt{2}$r -> l=+$\sqrt{2}$r (l cant be negative)

r/l = 1/$\sqrt{2}$

Thus ratio of radius to slant height: 1:$\sqrt{2}$

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