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Q.

Choose whether the given statement is true or false.


A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter 2r cm.


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a

True

b

False 

answer is A.

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Detailed Solution

Given that a right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter 2r cm.
The sphere is generated by revolving the circle about the diameter axis by an angle of 180 °  .
The largest sphere inscribed in the cylinder has a radius equal to the radius of the cylinder if the radius of the cylinder is less than the height of the cylinder. The diameter of the sphere is twice the radius, so the diameter of the sphere is 2r   cm.
Therefore, the statement is true, 1 is the correct answer.
 
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