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

Question

asked Oct 24, 2024 212k views

1 Answer

Shalva Kakauridze · Answer 1 · 2024-10-30T06:05:20+0000

Explanation:

since h > 2r, the enclosed sphere is limited by the side wall of the cylinder, and not by the height.

and so, the diameter of the sphere is the same as the diameter of the circular base and top areas.

and that is 2r.

the diameter of the sphere is 2r.

remember, the diameter of a circle is 2 times the radius.