Let R be the region enclosed by the graph of y=x^2 and the line y=4...questions below please help.happy easter

Question

Let R be the region enclosed by the graph of y=x^2 and the line y=4.

a. find the area of region R
b. If the line x=a divides the region R into two regions of equal area, find a.
c. If region R is revolved about the x-ais, find the volume of the resulting solid.

Answer 1

4=x^2
x=-2 or x=2


x=2
2*(8-∫ x^2dx)=32/3
x=0

b)x=0