Water is being pumped into an inverted conical tank at some constant rate. the tank has a height of 600 cm and the diameter of the tank across the top is 400 cm. if the water level is rising at a rate of 20 cm/min when the height of the water is 200 cm, find the rate at which water is being pumped into the tank. (round your answer to the nearest integer.)
cm3/min

The water is being pumped at a speed of

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 200 cm satisfies the relation

r/200 = 400/600

So, r = 400/3 cm when the water is 200 cm high.

The volume of a cone with radius of the base = R is given by

So, the volume of water when it is 200 cm high is

One minute later, the height of the water is 200 cm + 20 cm = 220 cm

The radius now satisfies

r/220 = 400/600

and now the radius of the base is

r = 440/3

and the new volume of water is  

So, the water is raising (being pumped) at a rate (speed) of

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.