Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and inequalities about the y-axis. x2 - y2 = 64, x \geq 0, y = -8, y = 8

The Volume of the solid

V = π(1365.33) cubic units

Step-by-step explanation:

Step(I):-

Given curves are  x²- y² = 64 ,  x=0 , y=-8 and y=8

The given function   x = f(y)

                            x²- y² = 64

                            x² = y² +64

The Volume of the solid generating by revolving the region bounded by the graphs of the equations

Step(ii):-

the limits are  y = a = -8 and y = b=8

The Volume of the solid

V = π(1365.33) cubic units





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