Finding the radius of a ball (sphere) inscribed in a cylinder

In this publication, we will consider what the radius of a ball or sphere inscribed in a straight cylinder is. The information is accompanied by drawings for better perception.

Finding the Radius of a Ball/Sphere

The radius depends on how exactly it is inscribed in . You can do this in three ways:

1. The ball/sphere touches both bases and the side of the cylinder

• Radius (R) equal to half the height of the cylinder (h), as well as the radius (R) its foundations.
• Diameter (d) sphere is equal to two of its radii (R) or height (h) cylinder.

2. The ball/sphere only touches the bases of the cylinder

Radius (R) is half the height (h) cylinder.

3. The ball/sphere only touches the side surface of the cylinder

In this case, the radius (R) ball is equal to the radius (R) bases of the cylinder.

Note: once again we emphasize that the above information is applicable only to a straight cylinder.