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





option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

5x+2x=49

7x=49

x=7. 35 apples