what would you use to get the volume of a an cofee cup?

I would think the volume of a cylinder formula, as long as the cup diameter is uniform from top to bottom (not an older type cup where it is wider at the top than at the bottom of the cup).

What are your choices?

To calculate the volume of a coffee cup, you would need to measure its dimensions. The most common shape for a coffee cup is a cylinder. To get the volume of a cylinder, you can use the formula:

V = π * r^2 * h

where:
- V represents the volume,
- π (pi) is a mathematical constant approximately equal to 3.14159,
- r is the radius of the circular base of the cylinder,
- h is the height of the cylinder.

To obtain the radius, place a measuring tape or ruler across the center of the circular base of the cup and measure the distance from the center to the edge. Divide this measurement by 2 to get the radius.

For example, let's say the radius of the coffee cup is 4 centimeters and the height is 10 centimeters. Using the formula mentioned earlier, you can calculate the volume as follows:

V = 3.14159 * 4^2 * 10
≈ 502.65408 cubic centimeters

Therefore, the volume of the coffee cup would be approximately 502.65 cubic centimeters.