5. Determine the volueol the solid ofrevoulu tion created by cevolving areacevoluintheenclesed the fallouing fondions oboutMthod)by(Usethe Wacherenclosed坂tatis.2.gaこ

Answered: 5. Determine the volue ol the solid of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

5. Determine the volue
ol the solid of
revoulu tion created by cevolving area
cevoluin
the
enclesed the fallouing fondions obout
Mthod)
by
(Usethe Wacher
enclosed
坂tatis.
2.
gaこ

Expert Solution

Step 1

The problem is to find the volume of the solid of revolution creating by revolving the area enclosed by $f (t) = 4 t - t^{2}, g (t) = t^{2}$ by washer method.

For that consider the formula for washer method,

$V o l u m e, V = π \int_{a}^{b} [{[f (t)]}^{2} - {[g (t)]}^{2}] d t$

Where f(t) is the upper function and g(t) is the lower function. a, b are the points of intersection.

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