The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. cross sections of the solid perpendicular to the x-axis are semicircles. what is the volume, in cubic units, of the solid?

288 times pi over 35
576 times pi over 35
144 times pi over 35
8π

A is correct

Step-by-step explanation:

The base of a solid in the region bounded by the two parabolas and .

Two parabola equation:

Cross sections of the solid perpendicular to the x-axis are semicircles.

Diameter of semicircle

Radius of semicircle (r)

Thickness of solid

Range of

Volume of solid = Area of semicircle x Thickness

Hence, A is correct

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.

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5