hetps.//www.mathol com/st Kazimierz Boloz 2/8/16 6:45 PM Shoils HW 6.3.64 Homewo

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hetps.//www.mathol com/st Kazimierz Boloz 2/8/16 6:45 PM Shoils HW 6.3.64 Homework: Volumes Slicing and Shells HW (6.3, 6.4 Save 12of25(21 complete) X) 6.3.43 E Queston Hetp For the rogion in the first qaxhant boundled by y - 9- the xais, and y ais, delarmine wtich of the tolowing is greater the volume of the sclis generated wten the region is revolved about to x-axis or about the y-ais When the regon is revolved about tho x-ans tho voiumem. (Type an oad answer, uangeas Enter your answer in the answer box and then click Check Answer 2 parts Clear All Check Answer Questor, 16(1/1) Question 171 L/1) Question 10 (5/1) oeman 7sol@ ^mo eb and Windows

Explanation / Answer

given region is bounde by y =9-x2 ,x axis y=0, y axis x=0 , forst quadrant ,so x>=0, y>=0

for limits 9-x2=0 =>x2=9 =>x=3

volume of solid generated by revolving region around x axis by washer method v= [0 to 3] (9-x2)2 dx

v= [0 to 3] (81-18x2+x4) dx

v=[0 to 3] (81x-(18/3)x3+(1/5)x5)

v=[0 to 3] (81x-6x3+(1/5)x5)

v= (81*3-6*33+(1/5)*35) - (81*0-6*03+(1/5)*05)

v= (81*3-6*33+(1/5)*35)

v= (648/5)

v=407.15

volume of solid generated by revolving region around y axis by shell method v= [0 to 3] 2x (9-x2) dx

v=2 [0 to 3] (9x-x3) dx

v=2 [0 to 3] (9/2)x2-(1/4)x4

v=2[(9/2)32-(1/4)34] -2[(9/2)02-(1/4)03]

v=(81/2)

v=127.2

volume generated by revolving around x axis is higher

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