A trough full of water is 12 ft long and its cross-section is in the shape of an isosceles trapezoid 1 ft high, 2 ft wide at the bottom, and 3 ft wide at the top. Find the work done in pumping the water to a point 2 ft above the top of the trough. Ans. 74w

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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.