Question

Curved surface area of a cone is thrice and curved surface area of other .slant height of second cone is thrice the slant height of first.find ratioo of their radii

Answer 1

here is the answer.

Answer 2

Answer:

9 : 1

Step-by-step explanation:

CSA ratio = 3 : 1 [3(CSA of 2nd Cone) = CSA of 1st Cone]

Slant Height (l) ratio = 1 : 3 [3(l of 1st Cone) = l of 2nd Cone]

ATQ

$3[\pi r_{2} l_{2}] = \pi r_{1} l_{1}$

$3[\pi r_{2} 3x] = \pi r_{1} x$

$9\pi r_{2} x = \pi r_{1} x$

$9r_{2} = r_{1}$

$r_{1} = 9r_{2}$

$\frac{r_{1}}{r_{2}} = \frac{9}{1}$

∴ Ratio of radii = 9 : 1

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