I have a ball with a hole drilled through it. The drilled hole is exactly 6 inches in length. What is the volume of the ball with the hole through it?
Don
Don
Simple math problem?
Humor/Fun (Jokes, riddles, and puzzles) · 4 of 4 known posts recovered
>I have a ball with a hole drilled through it. The drilled
>hole is exactly 6 inches in length. What is the volume of the
>ball with the hole through it?
>Don
What diameter is the hole? The volume of a cube is found by the formula 4/3 times Pi times radius cubed.
The diameter here is 6 inches (assuming a zero sized hole. The larger the hole in width, the greater will be the radius compared to the length of the hole.
So, assuming the hole diameter is zero (radius equals 3 inches):
4/3 times pi times 3 cubed = 113.097335529 (etc.)
>hole is exactly 6 inches in length. What is the volume of the
>ball with the hole through it?
>Don
What diameter is the hole? The volume of a cube is found by the formula 4/3 times Pi times radius cubed.
The diameter here is 6 inches (assuming a zero sized hole. The larger the hole in width, the greater will be the radius compared to the length of the hole.
So, assuming the hole diameter is zero (radius equals 3 inches):
4/3 times pi times 3 cubed = 113.097335529 (etc.)
Leonard Neumann
Indianapolis, Indiana, USA
Indianapolis, Indiana, USA
Your answer is correct and apparently the ball can be any size. The resulting ring just gets smaller in cross section as the D increases up to any size! Problem came from a Scientific American magazine I read about 53 years ago. Had an engineer going for his Masters at USC try to solve this one mathematically using some covenient sized hole but he wasn't able to work out a solution.
Don
Don