Question 121
Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The dia meter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm.
Solution
Volume of 1 marble = $$\frac{4}{3}\pi r^{3}$$ = $$\frac{4}{3}\pi 0.7^{3}$$
Volume of water due to n marbles = $$\pi r^{2} h$$ = $$\pi 3.5^{2} 5.6$$
No. of marbles = $$\frac{\pi 3.5^{2} 5.6}{\frac{4}{3}\pi 0.7^{3}}$$
= 150
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