Answer:
D. 16 times.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
π r^2 h = 432
Now if the diameter is reduced by 1/4 then the radius is reduced by a fourth also.
Let the new height be H, then:
432 = π (r/4)^2 H
so π r^2 h = π(r/4)^2 H
r^2 h = r^2 H / 16
h = H/16
H = 16h.
Answer:
The corresponding definite integral may be written as

The answer of the above definite integral is

Step-by-step explanation:
The given limit interval is

![[a, b] = [-8, 6]](https://tex.z-dn.net/?f=%5Ba%2C%20b%5D%20%3D%20%20%5B-8%2C%206%5D)
The corresponding definite integral may be written as


Bonus:
The definite integral may be solved as

Therefore, the answer to the integral is

3+4+1 for each class so it's 8
8 x 6 for all the classrooms so it's 48. The school buys 48 games
You have 2 apples, get 3 more, and then lose 2 of them.
So, you HAVE 2 apples, and if you get 3 more, you can add it to the 2.

In total at the moment, you have 5 apples. Now, you lose 2 more. We can subtract that from our total number of apples.

We now know that you are left with
3 apples.