8hkld 349820969&questionld; 2&flushed; true&cld; Homework: Volumes by Slicing Be

Question

8hkld 349820969&questionld; 2&flushed; true&cld; Homework: Volumes by Slicing Betty Dalmasi Ex scoret o of 1 6 325 Setup 8 Salve Use the levi scorer sss, (2.7s of 5 pts) washer method to find the volume of solid generated whenthe region bounded yt byyssx and y 24N1 the is revolved about the x-axis. 3 of 5 H Video Set up the integral that gives the volume of the solid Use increasing limits of itegration select the correct choice below Print and fill in the answer boxes to complete your choice Gype exact answers)

Explanation / Answer

given curves are y =24x , y =8x

for limits of intergration

24x =8x

8x -24x =0

8x (x -3)=0

x =0,x =3

x=0,x=9

volume by washer method for rotating region about x axis v= [0 to 9][(24x)2 - (8x)2] dx

v= [0 to 9][576x - 64x2] dx

v= [0 to 9][(576/2)x2 - (64/3)x3]

v=[(576/2)92 - (64/3)93] -[(576/2)02 - (64/3)03]

v=7776

v=24429

volume=7776 =24429 cubic units

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