1.

Two cones have the same volume and their base radii are in the ratio 4:5. What is the ratio of their heights?

Answer»

r1 : r2 = 4 : 5

Ratio of the heights : V1 = V2

\(\frac{1}{3}\pi \times4^2\times h_1\) = \(\frac{1}{3}\pi \times5^2\times h_2\)

16h1 = 25h2\(\frac{h_1}{h_2}=\frac{25}{16}\)

h1 : h2 = 25 : 16



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