Manufacturing And Production Technology
Volume of a cube of side ‘l’ and volume of a sphere of radius ‘r’ are equal. Both the cube and the sphere are solid and of same material. They are being cast. The ratio of the solidification time of the cube to the same of the sphere is

(4π/6)² × (r/l)³
(4π/6)² × (r/l)⁴
(4π/6) × (r/l)²
(4π/6)³ × (r/l)⁶

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Manufacturing And Production Technology
The grooving is an operation of

Embossing a diamond shaped pattern on the surface of a workpiece
Reducing the diameter of a workpiece over a very narrow surface
Enlarging the end of a hole cylindrically
Beveling the extreme end of a workpiece

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