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
About 68% of the people will score between 85 and 115.
The values of 85 and 115 are exactly 15 points away, or 1 standard deviation, away from the mean.
According to the empirical rule, about 68% of the values in a normal distribution are within 1 standard deviation of the mean.
This is the answer for the calculation
Answer:
C: 18
Step-by-step explanation:
