<span>A line can be described as a one dimensional set of points
that has no beginning or end.</span>
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
The numbers are:
3.9 × 105 = 409.5
6.1 ×103 = 628.3
9.3 × 105 = 976.5
1.6 × 103 = 164.8
Arranging from greatest to least and in scientific notation form gives:
9.3 × 105 , 6.1 × 103 , 3.9 × 105 , 1.6 × 103
*(Seems like there is no correct answer from the choices given there).
I'd say 88.5 because 12 divided by 1062 is 88.5 therefor thats how many boxes youd need.
