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rohan, a student:

A CYLINDER IS WITHIN THE CUBE TOUCHING ALL THE VERTICALS FACES . A CONE IS INSIDE THE CYLINDER.IF THEIR HEIGHT ARE SAME WITH SAME BASE ,FIND THE RATIO OF THEIR VOLUMES.

Hi Rohan,

Consider what the objects look like together:

Since the bases of the cylinder and the cone both have diameters of s (the length of one side of the cube), each of their radii is s/2. Both also have a height of s.

The formula for volume of a cylinder is

V = πr2h

The formula for volume of a cone is

V = πr2h/3

If you substitute in the radius and height for both, what is the ratio of their volumes?

Hope this helps,

Janice

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