Answer:1.=First to find intersection points of the two curve:
y
=
x
2
and y = 4x.
Let
x
2
=
4
x
.
Get solution x=0 and x=4. They are x coordinates of the two intersection points.
By Disc method:
Volume=
π
∫
4
0
(
4
x
)
2
−
(
x
2
)
2
d
x
=
π
∫
4
0
(
16
x
2
−
x
4
)
d
x
=
π
∫
4
0
16
x
2
d
x
−
π
∫
4
0
x
4
d
x
=
π
16
3
x
3
|
4
0
−
π
1
5
x
5
|
4
0
=
π
2048
15
.
Done.
Step-by-step explanation:
