Question

A hollow sphere of internal and external diameter 4cm and 8cm is melted into a cone of base diameter 8cm. Calculate height of cone?

Answer 1

Given external diameter of hollow sphere = 2R = 8 cm

Therefore, external radius of hollow sphere = R = 4 cm.

Given internal diameter of hollow sphere (2r) = 4 cm

Therefore, internal radius of the hollow sphere = r = 2 cm

External diameter (R) = 8 cm

Since hollow sphere is melted into a cone so there volumes are equal (1) = (2)