Answer:
The volume of the ball with the drilled hole is:

Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

Then we set the integral for the volume by using shell method:

That can be solved by substitution:

The limits of integration also change:
For x=5: 
For x=15: 
So the integral becomes:

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

Then applying the basic rule we get:

Since that is just half of the solid, we multiply by 2 to get the complete volume:


Line B
Explanation:
The slope is negative so the line is going to the left. The y-intersect is 1.
4.5 x 4.5 = 20.25 x 4.5 = 91.125 in
Answer:
The hippopotamus weighs 6,993 pounds more than the monkey.
Step-by-step explanation:
7,000 x 1/1000 = 7,000/1,000 = 7
7,000 - 7 = 6,993