Question

Height of a cylindrical vessel is equal to side of a square, whose area is 324cm². Radius of cylindrical vessel is equal to average of radius of a sphere and hemisphere. If ratio between the radius of hemisphere and that of the sphere is 2:1 and difference between their total surface area is 1232 cm², then find volume of cylindrical vessel?

A 6769 cm³
B 6412 cm³
C 6335 cm³
D 6237cm³
E None of these
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