1.

The base radii of two cones are in the ratio 3:5 and their heights are in the ratio 2 : 3. What is the ratio of their volumes?

Answer»

r1 : r2 = 3 : 5

h1 : h2 = 2 : 3

Ratio of the volumes

\(=\frac{1}{3}\pi \times3^2\times2:\frac{1}{3}\pi \times5^2\times3\)

\(=\frac{1}{3}\pi\times9\times2:\frac{1}{3}\pi\times25\times3\)

= 18 : 75 = 6 : 25



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