Write down definite integrals to express the given geometric quantities :

The volume of the solid is obtained by revolving fxon a,baround the y-axis, by the shell method.

Short Answer

Expert verified

The volume of solid with nested shell along y-axis=2πabfxhxdy

Step by step solution

01

Given Information :

Given that to assume that fxis continuous and differentiable, with a continuous derivative.

02

Definite integral formula by shell method :

The volume of the solid S formed by revolving the region bounded by the curve y=fxbetween y=aand y=babout the y−axis is given by,

V=2πabfxhxdy

Where, fx and hx are the radius and height functions for the shells in terms of x.

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