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Math Puzzle for November 8, 2024

Cannonballs come in three sizes, and all sales are final

Alameda Post - a math diagram including three circles A, B, and C. A is the largest, and C is the smallest. The three circles are touching and ordered left to right from A to C. The circles rest on a horizontal line, and another line rests on top of the circles, touching the top of each one, and at a slant

Three spherical cannonballs are placed on a smooth level surface.
A slender, rigid, perfectly straight rod is placed at the top of all three.
The rod is tangent to all three collinear, solid iron, cannonballs.
As depicted, each cannonball is tangent to its neighboring ball.
Cannonball A has a mass of 45 kilograms.
Cannonball C has a mass of 20 kilograms.
Find the mass of cannonball B.

B = ______ kilograms

First correct answer to arrive at [email protected] will win a gift card for Tucker’s Ice Cream of Alameda.

Last week’s winner was John Lovato with Area = 246.399 meters²

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected].

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