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:
15/2 or 7.5
Step-by-step explanation:
distribute 5/6 to each number
change the fraction 10/3 so that it will have the same denominator as 5/12
= 40/12
divide both sides by 5/6
Answer:
9.11 x 10^-28
Step-by-step explanation:
if you divide 9.11 x 10^-28 by 1.67 x 10^-24 you get .000546
if you divide 1.67 x 10^-24 by 9.11 x 10^-28 you get 1,833
therefore, 1.67 x 10^-24 is 1833 times greater than the other value
remember: a filled dot means it includes that point and an empty dot means it doesn't
A. has empty dot at 0 so x=0 is not incuded in the solution
B. has filled dot at x=0 so x=0 is a solution
C. has empty dot at 0 so x=0 is not incuded in the solution
D. the line doesn't even go over x=0 so not a solution
answer is B
The answer is 3/8 because 3 out of the 8 don't have erasers.
