Find the area of the surface generated by revolving the given curve about the yaxis. y:V16m2, 3S$SS Surface Area : S, * = - 3
Find the area of the surface generated by revolving the given curve about the yaxis. y:V16m2, 3S$SS Surface Area : S, * = - 3 X = 3 Y = V 16 - x 2 -> x= 1 16 - 42 for surface s. 4 S , = 2 TT O L 4 ) JI + Film ? dy 57 9 ' ( 4 ) = _- y 16 - 42 9(4) = 1 16- 72 4 2TT 16- 42 16- yz dy S , = 4 aTT JIG dy SI = 2TT ( 4 ) (4 - 57 ) SIC STT ( 4- 57 ) And : 52 = 2TTrh 52 = 2TT ( 3 ) 57 52 = 6 TT 57 SA = 32TT - 2TT-57
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