Dick said:What choice of coordinates will turn that into a sphere u^2+v^2+w^2=4??
"Ugly volume calculation" is a term used in the scientific community to describe the process of determining the volume of an irregularly shaped object or substance, which is not easily measurable or calculable using traditional methods.
Volume calculation can be considered "ugly" when the object or substance being measured does not have a regular shape, making it difficult to calculate using traditional formulas such as the volume of a cube or cylinder.
Ugly volume calculation is important because it allows scientists to accurately determine the volume of objects or substances that do not have a regular shape, which is crucial in many scientific fields such as chemistry, biology, and geology.
Some commonly used methods for "ugly volume calculation" include displacement, which involves submerging the object in a known volume of liquid and measuring the change in volume, and integration, which involves using calculus to calculate the volume of irregular shapes.
"Ugly volume calculation" is used in a wide range of real-world applications, such as measuring the volume of irregularly shaped rocks in geology, determining the volume of organs in medical imaging, and calculating the volume of air in a combustion engine in engineering.