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?
Correct Answer: 2500/3 π cm3
Explanation:
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
