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The diameter and radius of a circle if the circumference is 37.68 are:

  1. Diameter = 11.99
  2. Radius = 5.997
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Q: What is the diameter and radius of a circle if the circumference is 37.68?
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Cubic Feed per Second (cfs) can be calculated only if you are able to determine the cubic feet, so you'd need to know the tank's height, width and length. Since you provide only the height and diameter, let's assume it is a cylindrical shape. If it's not a cylindrical tank, then you will need more data about the size and shape of the tank, in order to answer this question. But let's assume it's a cylinder. To find out the volume of a cylinder you multiply the height by the squared radius and then by the number "pi" which is approximately 3.14. The radius is the measure from the center of a circle to the perimeter, which means it is exactly half the diameter. Let's plug in our numbers and we can find out the volume in cubic feet: Height = 8 feet Radius = 9 feet (half the diameter which is 18) Radius squared = 81 feet (9 x 9, because to square a number means to multiply it by itself) Pi = 3.14 (approximately Your teacher will tell you how precise you need to be, and you may need to use a more exact measure of pi, which is an irrational number equal to the ratio of a circle's circumference to its diameter.) When I multiply 8 x 81 x 3.14 I get 2,034.72. So now we know that this cylindrical tank has a volume of 2,034.72 cubic feet. If you are confused, try to go through each step and picture in your mind what is being measured, or even draw a picture if that helps. So, how do we get the cfs, the cubic feet per second, which is the flow rate? What this means is, how much water is entering the tank each second, if it takes 90 minutes to fill the tank? (We assume the tank was empty when the process started). Well, how many seconds are in 90 minutes? Each minute has 60 seconds, so 90 x 60 = 5400 seconds. Imagine this: It takes 5400 seconds to fill a tank that is 2,034.72 cubic feet in volume. The more effort you make to picture the situation in your mind, the easier it will be to understand how to solve the problem. Sometimes plugging in simple numbers, makes it easier to figure out how to set up the math to solve a word problem like this one. What if it took 10 seconds to fill a tank that was 20 cubic feet in volume? How would you set up that math problem? You'd be able to figure out intuitively that the flow rate had to be 2 cubic feet per second, if after 10 seconds a total of 20 cubic feet of water flowed in, right? So that means: cfs = V / s or "The cubic feet per second flow rate is equal to the volume in cubic feet divided by the number of seconds it takes to fill the tank." cfs = 2,034.72 / 5400 or .3768. We can probably round this up to a flow rate of .38 cubic feet per second.