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:
The pattern is that they are multiplying by -3 every time. 81*-3 = -243
Answer:
I think the answer is 5
Step-by-step explanation:
4 -(-1)
4+1
which will equal to 5
5 24
- -
8 1
Simplify 24 and 8. (8 goes into 24 six times.)
5 6
- -
1 1
or
5 x 6 = 30
To solve this, set up the equation, 90% of x being .9*x=57. Then, solve for x, x=57/.9=
=6.333
