The base of a solid in the region bounded by the parabola x2 + y = 4 and the line x + y = 2. cross sections of the solid perpendicular to the x-axis are semicircles. what is the volume, in cubic units, of the solid?

volume of the solid is 3.180

Step-by-step explanation:

given data

line x + y = 2

parabola  x2 + y = 4

to find out

the volume of the solid

solution

we draw a graph between line and parabola as show in fig given below attach

line cut at (-1,3) and (2,0)

so the length of diameter is ( 4 - x²) - (2 - x)

and radius of this semi circle will be ( 4 - x² - 2 + x ) /2

radius = (-x² + x + 2 ) /2

and r(x) will be  =  (-x² + x + 2 ) /2

and A(x) will be  = π ( r(x)² ) /2

we will integrate from -1 to 2

=

=

= 81π / 20

volume of the solid is 3.180

the decimal answer in the above answer is correct, but the fraction is wrong. it's

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation:

55% are girls and 45% are boys : ) hope this

step-by-step explanation: