A circular swimming pool has a diameter of 24 ft, the sidesare 5 ft high, and the depth of the water is 4 ft. How muchwork is required to pump all of the water out over the side? (Use the fact that water weighs 62 .5 lb / ft cu . )
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
A circular swimming pool has a diameter of 24 ft, the sides
are 5 ft high, and the depth of the water is 4 ft. How much
work is required to pump all of the water out over the side?
(Use the fact that water weighs 62 .5 lb / ft cu . )
We are given diameter of a pool. We are also given the depth of water inside it. We first find out small work done by small volume element. We then integrate this work for whole water volume to find total work done.
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