Question 69

A and B are two cones. The curved surface area of A is twice that of B. The slant height of B is twice that of A. What is the ratio of radii of A to B?

Solution

Let radii of A and B be $$r_1$$ and $$r_2$$ units respectively.

Let slant height of A = $$l$$ units and of B = $$2l$$ units

According to ques, ratio of curved surface are of A and B = 2:1

=> $$\frac{\pi r_1 l}{\pi r_2\times2l}=\frac{2}{1}$$

=> $$\frac{r_1}{r_2}=\frac{4}{1}$$

=> Ans - (C)

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