Math Puzzle for August 30, 2024

The old pyramid scam gussied up to look like 3-D geometry

A regular pyramid with a pentagonal base is placed in a sphere.
The pyramid has five congruent lateral sides.
The sphere has a volume of 449841.3724 cubic centimeters.

Find the volume V of the largest possible pyramid that fits inside the sphere.

The first correct answer sent to JeffreyRSmith@aol.com wins a Tucker’s Ice Cream gift card worth a lot of ice cream.

The answer to last week’s puzzle was V = 231.2384 cubic inches.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at JeffreyRSmith@aol.com .

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