In cylindrical coordinates, we have , so that
correspond to the upper and lower halves of a sphere with radius . In spherical coordinates, this sphere is .
means our region is between two cylinders with radius 1 and . In spherical coordinates, the inner cylinder has equation
This cylinder meets the sphere when
which occurs at
where . Then .
The volume element transforms to
Putting everything together, we have
I think Craig would need 7.5g of butter
Answer:
Step-by-step explanation:
jnj
you add the amount of people in each section that fits into the category. So, 11 people from 6-6:29 and 15 people from 6:30-6:59 and then 8 people from 7:30-7:59 so you get 34 people total