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:
7
Step-by-step explanation:
the answer is 7 because -4 in the first pair and 3 from the second ordered pair is 7.The other side is 4 because 2 and -2 are 4 places away from each other
hope it helps :)
2−1+22+2=32125
Step-by-step explanation:
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Answer:
16.79 %
Step-by-step explanation:
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Well each angle in a rectangle is 90°, so if x is an angle, it's 90°
I hope that helps!