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)

Answer 1

r = (5/8) x

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

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

etc