The volume of the shell that you described would be:

Now we can rewrite the given integral:

I have attached the picture explaining how we got the formula for the volume.
On the picture, I marked the rectangle. You can of this rectangle as the base, and the height would be the circumference of the cylinder.
Answer:
69 revolutions
Explanation:
given,
initial angular velocity = 0
final angular velocity = 6 rev/s
when safety switch turned off
tub smoothly slows to rest in (t)= 13 s
total revolution of tub = ?
angular acceleration = 
angular acceleration = 
= 0.6 rev/s²
now,


= 30 revolution
now,
when safety switch turn off
angular acceleration = 
angular acceleration = 
= -0.462 rev/s²
now,


= 39 revolution
total revolution = 30 + 39 = 69 revolutions.
tub will rotate 69 revolutions
Easier to write, easier to read, easier to understand, easier to compare
Answer:
O is an element and H2O2 is a compound.
Explanation:
O is a single element while H2O2 has 2 elements, which makes it a compound.