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