This disk method calculator tool will help you compute the volume of a solid of revolution by integrating a function around an axis.
Disk Method Calculator
How to Use the Calculator
Enter the function f(x) you wish to revolve around the x-axis, the lower and upper bounds of the integral (a and b), and the number of disks (N) for the approximation. Press the “Calculate” button to compute the volume.
How It Works
The calculator uses the disk method to approximate the volume of a solid of revolution. When a function f(x) is revolved around the x-axis, disks are formed. The volume of each disk is V = π * (f(x))^2 * dx. Adding the volumes of all disks from a to b gives the approximate volume of the solid.
Limitations
This calculator only works for functions that can be integrated using the disk method and cannot handle functions with discontinuities within the given interval. Additionally, the accuracy of the result is dependent on the number of disks (N) – more disks lead to a more accurate approximation.