A Tank Has the Shape of an Inverted Right Circular $4 \mathrm {~m}$

A tank has the shape of an inverted right circular cone with a base radius of $4 \mathrm {~m}$ and a height of $9 \mathrm {~m}$ . If the tank is filled to a height of $1 \mathrm {~m}$ , find the work required (to the nearest joule) to empty the tank by pumping the water over the top of the tank. (The mass of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ and the force of gravity is $9.8 \mathrm {~m} / \mathrm { sec } ^ { 2 }$ .)

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