The answer to 21 is y < -3x + 5
Answer:
300
Step-by-step explanation:
100 is for 4. 300 is for 12, and 280 is for x. All you have to do is rotate the shape to make it fit.
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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:
Answer:
k^2-18k+81
Step-by-step explanation: