Finding the constant.

[Shawnster]

I tried using binomial expression but I'm not even sure that applies here. I domt want the answer. I just need to know the process. Thanks.

 

[Shawnster]

I believe part B the answer is 4pi^3 because pi is a constant

 

[MarkFL]

I believe part B the answer is 4pi^3 because pi is a constant

\(\pi\) isn't being cubed there, \(r\) is. If we write that expression as:

[MATH]\frac{4\pi}{3}r^3[/MATH]
Then we can observe that \(\dfrac{4\pi}{3}\) is a constant, and \(r^3\) depends on the value of \(r\).

 

[Steven G]

Here is the simplest way to identify the coefficient of each term (I would NEVER call what you are looking for a constant). Just ignore the variables and their associated powers. Just realize that if you have something like x/5 you must realize that this is the same as 1x/5. Now when you erase/ignore the variable you get 1/5.

Another example. 7x³/5. If you ignore the variable and its power (if it has a power) you will get 7/5. If you are careful then this method will always work for you!