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A cylindrical box of radius 5 cm contains 10 solid spherical balls, each of radius 5 cm. If the top most ball touches the upper cover of the box, then volume of the empty space in the box is ?
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- 2500/3 π cm3
- 50000 π cm3
- 2500 π cm3
- 5000/3 π cm3
- 2500/3 π cm3
Correct Option: A
Height of the cylinder = 10 x Diameter of each ball
= 10 x 10 = 100 cm
∴ Required empty space
= π (5)2 (100) - 4/3 π (5)3 x 10
= π (5)2 x 10 [10 - 20/3]
= π (5)2 x 10 [30 - 20/3] = 2500/3 π cm3
