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Product of the Volume, ______________________ and the perpendicular distance from axis are being used in the theorem to find the volume of the revolution.

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Product of the Volume, ______________________ and the perpendicular distance from axis are being used in the theorem to find the volume of the revolution.

(a) Area of generated curve

(b) Area of generated radius

(c) Area of generated length vector

(d) Area of generated area vector

I had been asked this question in an interview for internship.

This interesting question is from Theorem of Pappus and Guldinus topic in section Centre of Gravity and Centroid of Engineering Mechanics

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Right answer is (a) Area of generated curve

Easy explanation: The theorem is used to find the surface area and the volume of the revolving body. This is done by using simple integration. Thus the surface area and the volume of any 2D curve. It is just the product of the volume, area of generated curve and the perpendicular distance from axis.

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