Answer:
Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value
Answer:
4,200 liters
Step-by-step explanation:
The flow rate is given by:

Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:

4,200 liters of water flow from the tank during the first 30 minutes.
Answer:
Step-by-step explanation:
The volume of a sphere is

We are told our volume is 500pi/3, so we fill that in and solve for r:

Start by multiplying both sides by 3 over 4 pi:

Simplifying gives us

Take the cubed root of both sides to get that
r = 5
Simplify the ratio 8 to 2 to be 4 to 1
Now compare 4 to 1 and 10 to 1
4 is smaller than 10 so the ratio 8 to 2 is smaller.