The volume of a frustum of a cone of height h is given by the
V= 1/3*pi*h (R^2 +Rr +r^2),
Where R and r are the radii of its circular ends.
Hollow metal hemispheres of internal and external diameters 12.5cm and 17.5cm, respectively, are to be cast from the molten contents of a ladle in the shape of a frustum of a cone of depth 1.2 metres and radii of ends 0.6m and 0.675m. Calculate the number of hemispheres that can be cast.
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