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:28.28 cm
Explanation:
a² + b² = c²
20² + 20² = c²
c² = 400 + 400
c² = 800
c = √800
c = 28.28 cm
Answer:
-77
Step-by-step explanation:
-77 + -23 = -100
Your speed is 13 ft/sec. In order to know our velocity, we would need to know what direction we're moving. You haven't told us anything about our direction, only that our speed is 13 ft/sec.
Answer:
7
Step-by-step explanation:
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