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Sphere and Its Surface Area

Ram has a sem...

Question

Ram has a semicircular disc. He rotates it about its diameter by 360 degrees. When he rotates the disc, a volume of air in his room gets swept. What is the name of the object/shape that exactly occupies this volume?

Cylinder

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Hemisphere

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Sphere

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Cuboid

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Solution

The correct option is C
Sphere

It is clear that by seeing 2nd diagram we can know how semicircle sweeps and what is the shape obtained. The shape obtained is a sphere. If rotation had been done for only 180 degrees instead of 360 degrees, we get a hemisphere. The line segment AB which acted as axis of rotation will also be diameter of sphere formed.

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