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# How to find the volume of a solid rotated around the y-axis?

Other than the disk method, we can also use the washer method for finding the volume of rotated solids.

### Answer: The volume of a solid rotated about the y-axis can be calculated by V = π∫^{d}_{c}[f(y)]^{2}dy.

Let us go through the explanation to understand better.

**Explanation:**

The volume of a solid rotated around the y-axis can be calculated using the "Disk Method"

The disk method is predominantly used when we rotate any particular curve around the x or y-axis.

Suppose a function x = f(y), which is rotated about the y-axis.

The volume of the solid formed by revolving the region bounded by the curve x = f(y) and the y-axis between y = c and y = d about the y-axis is given by

V = π ∫^{d}_{c }[f(y)]^{2}dy.

The cross-section perpendicular to the axis of revolution has the form of a disk of radius R = f(y).

### Thus, the volume of a solid rotated about the y-axis is calculated to be V = π ∫^{d}_{c }[f(y)]^{2}dy.

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