Question

If a spherical tank 6 m in diameter can be filled with a liquid for $800, How do you find the cost to fill a tank 18 m in diameter?

Answer 1

`$21,600`

Explanation:

Volume (for geometrically similar objects) varies as the cube of linear dimensions.

Therefore the volume of an 18 m sphere is `(18/6)^3=3^3=27` times that of a 6 m sphere
and, as such, the cost of filling the 18 m sphere should be `27` times greater: `27xx$800= $21600`