Links to other topics
List of Formulas Anglish Index
Types of Story Problems Examples of Story Problems
Two Meteors

Volume Problems

This is a picture of a balloon.

The radius of a sphere is one half another. The smaller sphere has a volume (7/48) pi cubic inches less than the larger. What are the volumes?

Analysis: This problem is a relational problem with the difference of the volumes being key. The relational equation table needs one entry for each of the spheres and one for the difference. The table also needs a column for the volume of a sphere. The volume is given by the formula: volume = 4/3 X pi X r**3. The PI term cancels out, but there are several new Anglish operators in the program. The program is generated by solving
volume 1 - volume 2 = (7/48)pi
Click to see the sphere table, the program, or the results.