Ken's blog

Marco Slivovitz, owner of The Brimchester Football Bar – dedicated to all fans of the honorable soccer sport – had just installed a perfect number of spherical beer kegs, painted to resemble footballs, which were placed around a large circular bar room.

Enthusiastic  fans celebrating the most recent victory of their beloved team could freely tap and drink beer from any one of the perfect number of spherical football kegs, conveniently placed around the extensive bar area – instant payment being made by card, and large beer mugs provided by saucily dressed waitresses.

Marco had a problem.  As the bar guests would usually empty all the kegs during an evening’s merrymaking, he needed a delivery truck with the correct spherical capacity to fill his perfect number of spherical beer kegs so they would be ready for the next bout. The radius of each of his spherical beer kegs was 21 inches.

Being a practical man, he turned to the yellow pages of the phone book to check for a firm specializing in beer delivery trucks with spherical containers, keeping in harmony with his own containers.

Luckily, after a persistent search, Marcho Slivovitz found the right company for his purposes, Acme Spherical Deliveries.

After contacting Acme Spherical Deliveries and giving the friendly sales person the details regarding his spherical beer kegs, Marco was delighted to hear that two spherical delivery trucks could actually be made available on a regular basis for his purpose, however each with a different diameter.

With the situation happily resolved, being a practical man, Marco Slivovitz proceeded to have one of his waitresses help him test his spherical beer kegs for proper functionality.

Can you work out the radii of the spherical containers on the Acme Spherical Deliveries trucks that will  completely fill up Marco’s empty spherical beer mugs after a spirited football victory celebration?