# Here we have two swimming pools. A rectangular pool is #6#ft long and a depth 1/3 of its width. A circular pool is #2#ft deep and has a diameter twice the width of the rectangular pool. What is the ratio of their volumes?

##### 1 Answer

The ratio of the volumes of the pools is

#### Explanation:

The pools are both regular 3 dimensional objects. The 'rectangular' pool is a cuboid and the 'circular' pool is a cylinder.

The volume of a cuboid is: length x width x depth

The volume of a cylinder is:

Let

We are told the the depth of the this pool is a third of its width =

For the circular pool, we are told that its diameter is twice the width of the other, which is therefore

Hence the ratio of the volumes