Question 61

If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is:

Solution

r1 : r2 = 3 : 4

h1 : h2 = 4 : 9

Volume of cylinder = $$\pi r^2h$$

Ratio of volume = $$\pi r_1^2h1 : \pi r_2^2h2$$

= $$3^2 \times 4 : 4^2 \times 9$$ = 1 : 4

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