Find tre Obtaiced by fotatig Y =axis. the Solid of revolution OkxE3 acound tre Sur face area of = 9-x" With

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the surface area of the solid of revolution 

3.
わ
Fnet = 0
%3D
Find tre
5ur face
of
అ కం
of revolution
area
Obtained by fotation y= 9-x"
Y=axis.
With
Oとxと3 acound tre
4. The
density
Of
is
2000 Kam3.
Stone
Transcribed Image Text:3. わ Fnet = 0 %3D Find tre 5ur face of అ కం of revolution area Obtained by fotation y= 9-x" Y=axis. With Oとxと3 acound tre 4. The density Of is 2000 Kam3. Stone
Expert Solution
Step 1

Formula used:

The surface area of the curve y=gx with mxn and rotated about y-axis is

A=2πmnx1+g'x2dx

Here, A is surface area.

Calculation:

Compare mxn with 0x3 to obtain the value of m,n as

m=0n=3

Compare y=gx with y=9-x2 to obtain value of gx.

gx=9-x2

Differentiate gx=9-x2 with respect to x.

gx=0-2x=-2x

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