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Calculus

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A vessel is in the shape of an inverted cone. The radius of the top is 5cm and the height is 8cm. Water is poured into a height of xcm. Show that if the volume of the water is Vcm^3,then V=(25/192)*pi*x^3. (The volume of a cone is given by the formula V=(1/3)*pi*r^2*h)

  • Calculus -

    r = (5/8) x

    V = (1/3) pi [ (5/8) x ]^2 x

    V = (1/3) pi (25/64) x^3

    etc

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