For this case we have:
Let be a given function, where:
- x is an independent variable
- y it is a dependent variable
By definition, the domain of a function is represented by the values associated with the independent variable, that is, the values of x.
Therefore, the domain of the given function is represented by:
Answer:
Since it is on the left up corner, its in quadrant 2
We will have the following:
First, we can see that the volume of the sphere and the regular cone are given by:
And:
Now, since the volume of the cone is inscribed by a maximum stablished by the sphere, we know that the maximum height for the cone will be equal to the radius of the sphere, so, we re-write the volume of the cone:
i. Now, we determine the ratio of both volumes as follows:
[Cone to sphere]
So, the ratio of the volumes of the cone to the sphere will be of 1:4.
ii. And the expression in terms of r for the volume inside the sphere but outside the cone will be:
So, the expression is:
Doesn’t let me in the link?