Question

exercise 2: specific instruction given: i must include procedure and graphs to receive all points. ( please include the graph when sending answer) instructions in english in photo included. the same exercise has multiple graphs.

12. find the volume of the solid of revolution generated by rotating the given region around a specified axis r={y=x2 y=4 x 20 a. around x axis b. around y axis c. around the line y=4

Answer 1

(2) Givey y=nr , no, y=4 .: x²=4 => n = 12 ..^=0 tonoz (4) around ne-amis By using washers method the volume about the ho anis is Nosto (6fm) am)"Jah = ( 0414my-Jon V = $** (16-24 3 dni v=T [ibn-es 1 = (162)=(2,5 0]= 128 (3) around yanis nu By using shells method the volume about the y-anis Vape Ainsan where A(n) = 27 a height) v=fr 22 (4-njon =2 (4-12) = 278 (42-23) du = 24 rumour ] = 20 (212) 634-) V = 2 (4) -

con around the line y =4 washers 1. method the volume about the line y=cis vre ( 68 m -e)"ga--)ch v=[+ (0--4)=-4-43-).ch VET! ( ***16=51-03 ath En C -50 416). = t ( 135 - 133 + 1662) --] 녀