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:


Answer:
117/78
Step-by-step explanation:
(-50-67)/(-12-56)=-117/-78=117/78
Hello! To solve this exercise we have to divide the amount of the bottles by the number of containers, look:

So, each recipient (container) has to receive the content of 3.66 bottles of sanitizer, approximately.
Answer:
K = 42
Step-by-step explanation:
K/2 = 21
2* k/2 =2*21
k=42
Figure 2 and 4. The translation method was used . Figure 2 was moved to the right and enlarged. They’ve still maintained the same shape however only enalarged.
Figure 4 has only decreased in size.
Please mark as a brainliest will be much appreciated