Q13 of 67 Page 195

The diameter of a sphere is 0.7 cm. By putting 3000 such spheres in a tank full of water, the tank is emptied completely. Find the volume of water that overflows.

Total volume of sphere = 3000 × volume of one sphere


diameter of sphere = 0.7 cm


radius of sphere = r = = = cm


Volume of sphere = πr3


⇒ volume of one sphere = × × × ×


= × cm3


= × cm3


= cm3


3000 such spheres are submerged


Total volume of sphere = 3000 × volume of one sphere


= 3000 ×


= 539 cm2


The total volume of spheres submerged in tank is the total amount of water that overflows


Therefore, 539 cm2 volume of water overflows


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