Final answer:
The shell method is used to calculate the volume between curves, and a calculator aids in this process by performing the necessary calculations quickly and accurately.
Step-by-step explanation:
The shell method is a technique used in calculus to find the volume between two curves. It involves taking thin cylindrical shells, with thickness dr, and integrating them to find the total volume. This method is useful when the region between the curves is difficult to split into simpler shapes.
A calculator aids in this process by performing the necessary calculations quickly and accurately. It can handle the integration and provide numerical approximations of the volume. Calculators like the TI-83, TI-83+, and TI-84+ have built-in functions for integration that can be used to find the volume using the shell method.
Using the shell method and a calculator allows for efficient and accurate calculation of volume between curves, making it a valuable tool in calculus.