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Disk Method Formula

About Disk Method Formula

When the axis of revolution is the plane region's boundary and the cross-sectional area is perpendicular to the axis of revolution, the disc method is utilised. This method involves rotating the curve y = f(x) around the x- and y-axes to determine the volume. Because the cross-sectional area generates circles or discs, we name it the Disk Method. Each disk's volume is equal to the product of its area and thickness. Get the list of Maths Formulas

What is the Disk Method Formula?

The region defined by y = f(x), x = a, x = b, and y = 0 is called R1. Assume we create a solid by rotating it around the x-axis. The solid's volume is determined by:

V=πab[f(x)]2dx

Disk Method FormulaDisk Method Formula
 

R2 is the area enclosed by x = f(y), y = c, y = d, and x = 0. Let's say we want to make a solid by rotating it around the y-axis.

The volume of the solid is given by: V=πcd[f(y)]2dx

Disk Method FormulaDisk Method Formula
V=πcd[f(y)]2dx

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