a glass of water has the shape depicted below All of its hor

a glass of water has the shape depicted below. All of its horizontal cross sections are circles; the radius of the cups buttom is 4cm and the radius of its top is 6cm. The height of the glass is 10 cm. The glass is half-way full of water ( density of water is 1000kg/m^3). The water is drunk through a vertical straw of length 12 cm and reaches the bottom of the glass. Express as an explicit definite integral the work performed in drinking all the water. Don\'t evaluate this integral. For the acceleration due to gravity use the value 9.8

Solution

asked total work done to completely drink water in the glass consider the water in the glass as the system the total P.energy lost by water would be the work done i.e. density*gravity*height (centre of mass)
a glass of water has the shape depicted below. All of its horizontal cross sections are circles; the radius of the cups buttom is 4cm and the radius of its top

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