SCALCET8 3.9.005.MI. A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing

The height of the water is increasing at a rate of 0.05m/min.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder, with radius r and height h, is given by:

Radius 5 m

This means that , and so:

How fast is the height of the water increasing?

We have to differentiate V and h implictly in function of t. So

Being filled with water at a rate of 4 m3/min

This means that . The questions asks . So

The height of the water is increasing at a rate of 0.05m/min.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0