*answer[multiple choice] for brianliest* (08.01 mc)

the graph shows two lines, a and b:

based on the graph, which statement is correct about the solution to the system of equations for lines a and b?
(3, 4) is the solution to both lines a and b.
(3, 4) is the solution to line a but not to line b.
(0, 2) is the solution to both lines a and b.
(0, 2) is the solution to line a but not to line b.

Your answer would be (3, 4) is the solution to both lines A and B.

Determine the rate of change of the height of water,
d
h
d
t
, in the cylindrical tank. We do this by first expressing the volume of the cylindrical tank,

V
=
π
r
2
h

where r is the radius and h is the height. Now, we must take note that the radius of the water in the tank is constant. We determine the answer by differentiating the equation with respect to time and then plugging in the given values:

d
V
d
t
=
4

m
3
/
m
i
n
r
=
6

m
We proceed with the solution.

V
=
π
r
2
h
d
V
d
t
=
d
d
t
π
r
2
h
d
V
d
t
=
π
r
2
d
h
d
t
1
π
r
2
d
V
d
t
=
d
h
d
t
1
π
(
6

m
)
2
(
4

m
3
/
m
i
n
)
=
d
h
d
t
1
9
π

m
/
m
i
n
=
d
h
d
t