A recipe uses 4 cups of milk to make 20 servings. - id42011220324, elijah4723

Question

Mathematics: A recipe uses 4 cups of milk to make 20 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons? 1 gallon=4 quarts 1 quart=2 pints 1 pint=2 cups 1 cup=8 fluid ounces Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?

elijah4723 · Accepted Answer

The area of this revolted surface is 36π

Step-by-step explanation:

To obtain the area of a revolted surface, you have to define:

1) which is the axis on which the surface is revolted: this defines the limits on that axis or hight of the surface. In this case x∈[0;2]

2) which is the expression of the radius of the revolted surface and its dependence with the hight. In this case, the radius expression could be Y=4x+5

3) Define the angular variable: If this is a fully revolted surface, the angular variable will go from 0 to 2π

Now we can obtain the area with a double integral:

$A=\int\limits^{2}_0 { \int\limits^{2\pi}_0 {r} \, d \varphi } \, dx =\int\limits^{2}_0 { \int\limits^{2\pi}_0 {4x+5} \, d \varphi } \, dx =\int\limits^{2}_0 { (2\pi)(4x+5)} \, dx=36\pi$

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