Find the volume of the solid generated by

Annie Rice

Annie Rice

Answered question

2022-04-08

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and inequalities about the y-axis.
x2y2=25,x0,y=5,y=5

Answer & Explanation

Emelia Leon

Emelia Leon

Beginner2022-04-09Added 18 answers

x2y2=25, x0, y=5,y=5
x2=25+y2
x=25+y2=x1 and x=0=x2
Volume of revolving given by
V=abπ(x22x12)dy, here a=5,b=5
=55π((25+y2)202)dy
=55π(25+y2)dy
Integrate with respect "y"
=π[25y+y33]55
=π[25×5+533(25x5+(5)33)]
=π[125+1253+125+1253]
=1000π3

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