The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Find out more on integration at: brainly.com/question/23976638
Answer:
There is only one solution and the solution is (0,4).
Step-by-step explanation:
The given system has equations;
and
We equate the two equations to determine their point of intersection;
We put x=0 into the first equation to get;
There is only one solution and the solution is (0,4).
The volume of the styrofoam collar is approximately 1,960.35
Step-by-step explanation:
Step 1:
The given styrofoam collar is a hollow cylinder. A hollow cylinder consists of an outer radius and an inner radius.
This given hollow cylinder has an outer radius of 8 inches and an inner radius of 5 inches. The height of the cylinder is 16 inches.
To calculate the volume of a hollow cylinder we subtract the volume of a cylinder constructed with the inner radius from the volume of a cylinder with the outer radius.
Step 2:
The volume of a cylinder,
For the outer cylinder, inches and
inches.
The volume of the outer cylinder,
For the inner cylinder, inches and
inches.
The volume of the inner cylinder,
Step 3:
The volume of the styrofoam collar
The volume of the styrofoam collar
Rounding this off, we get the volume of the styrofoam collar as 1,960.35