# The radius of the cylinder - Determining which container...

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Determining which container requires the largest work to pump out liquid. Containers: The radiuses of the two cone containers are needed in calculating the work to pump liquid to ground level. As it is given that the volume of the containers are all equal, it is possible to find the radiuses for the two cones, using the volume of the cylinder and a certain height. In context to the problem, it is seen above that the volume of the cylinder with a height of 10 meters = 90*π*m3, using the formula for the volume of a cylinder: V = π*r2*h. Given that the volume of a cone = 1/3*π*r2*h, and that the volume of both the cones and cylinder are equal, the radius for the two cones can be obtained by setting the volume of the cylinder equal to the volume of one of the cone. In this case, the height of the two cones is both 10 m. The obtained radius is 27. Now, all information is obtained for calculating the work to pump the liquid to ground level, for each container.

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