Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
C / four-fifths
Step-by-step explanation:
Answer:
My day is going good so far
Anyways, the answer is 7 21/25
Step-by-step explanation:
4 + 8/5 + 8/5 + 16/25 =
4 + 16/5 + 16/25 =
4 + 80/25 + 16/25 =
4 + 96/25 =
4 + 3 + 21/25 =
7 + 21/25 =
7 21/25
I did my math on a piece of paper but the answer would be x= 107/96