Two Balls in a Cylinder

Problem

A closed cylindrical container (wall thickness negligible) has base radius 4 cm4\text{ cm} and height 9 cm9\text{ cm}, and contains two iron balls of equal radius. Find the maximum possible radius of the balls, in cm.

Answer

Solution

Difficulty6/10
TopicsQuadratic Equations, solid geometry, Tangent Circle

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments
Log in to join the discussion.

No comments yet.