Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The region bounded by the curves
x
=
y
2
x = y^{2}
x
=
y
2
and
x
=
4
x = 4
x
=
4
for
0
≤
y
≤
2
0 \le y \le 2
0
≤
y
≤
2
is revolved about the
y
y
y
-axis. Which definite integral gives the volume of the resulting solid? a)
V
=
2
π
∫
0
2
y
(
4
−
y
2
)
d
y
V = 2\pi \displaystyle \int_{0}^{2} y\bigl(4 - y^{2}\bigr)\,dy
V
=
2
π
∫
0
2
y
(
4
−
y
2
)
d
y
b)
V
=
π
∫
0
2
(
16
−
y
2
)
d
y
V = \pi \displaystyle \int_{0}^{2}\bigl(16 - y^{2}\bigr)\,dy
V
=
π
∫
0
2
(
16
−
y
2
)
d
y
c)
V
=
π
∫
0
2
(
16
−
y
4
)
d
y
V = \pi \displaystyle \int_{0}^{2}\bigl(16 - y^{4}\bigr)\,dy
V
=
π
∫
0
2
(
16
−
y
4
)
d
y
d)
V
=
π
∫
0
2
(
4
−
y
2
)
2
d
y
V = \pi \displaystyle \int_{0}^{2}\bigl(4 - y^{2}\bigr)^{2}\,dy
V
=
π
∫
0
2
(
4
−
y
2
)
2
d
y
Browse the problem library