Math Challenge--Volume of a sphere

Here's a math challenge for you: Which is larger, the volume of a cube 5 inches on a side, or the volume of a sphere with a diameter of 6 inches?


Hint: The volume of a cube is l*w*d and the volume of a sphere is 4/3*pi*r*r*r; the radius of a circle (or sphere) is 1/2 the diameter.
Solution: Volume of the cube = 5 in * 5 in * 5 in = 125 cubic inches Volume of the sphere = 4/3 * 3.14 * 3 in * 3 in * 3 in = 113.04 cubic inches Note: If the sphere was placed inside the cube, there may be places where the sphere pokes out through the middle of the cube, the overall volume (or capacity) of the sphere is less than the cube.


Jon A.

Math, English Tutor

1250+ hours
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