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Problem 8 A spherical water tank is being filled by a l-cm-diameter hose. The water in the hose has a
uniform speed of 15 cm/s. Meanwhile, the tank springs a leak at the bottom of the sphere. The hole has
a diameter of 0.5 cm. Determine the equilibrium level of the water in the tank if water continues flowing
through the hose and into the tank at the same rate.

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