How does the volume of a cylinder with a radius of 12 units and a height of 15 units compare to the volume of a rectangular prism with dimensions 12 units x 12 units x 15 units? The volume of the cylinder is smaller than the volume of the prism.
The volume of the cylinder is the same as the volume of the prism.
You cannot compare the volumes of different shapes.
The volume of the cylinder is greater than the the volume of the prism.

The volume of the cylinder is greater than the volume of the prism.

Step-by-step explanation:

The Volume of a cylinder is given as:

= πr²h

Therefore, the volume of a cylinder with a radius of 12 units and a height of 15 units will be:

= πr²h

= 3.14 × 12² × 15

= 6782.4

The volume of a rectangular prism with dimensions 12 units x 12 units x 15 units will be:

= Length × Width × Height

= 12 × 12 × 15

= 2160

Based on the calculation, the volume of the cylinder is greater than the volume of the prism.

ratio is 2 : 9

the answer is three

13.5 : 3