Question

The given cylindrical container is used to fill the rectangular prism fish tank with water. what is the least number of full cylindrical containers needed to completely fill the fish tank?

Answer 1

30 full cylindrical containers are required to completely fill the fish tank.

What is a cylinder?

• A cylinder is a surface made up of all the points on all the lines that are parallel to a given line and pass through a set plane curve in a plane that is not parallel to the given line.
• Such cylinders have been referred to as generalized cylinders at times.

To find what is the least number of full cylindrical containers needed to completely fill the fish tank:

We know the volume of the cylinder is given by: $V=\pi r^{2} h$

The volume of a cylinder:

$V=\pi (\frac{6}{2} )^{2} (8)\\V=75\pi inches^{3}$

The volume of cube V = 24 × 24 × 12 = 6912 cubic inches

A number of full cylindrical containers are needed to completely fill the fish tank:

• 6912/72π
• 30.55 ≈ 30

Therefore, 30 full cylindrical containers are required to completely fill the fish tank.

Know more about cylinders here:

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