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:
x=11 and the number of solutions is one solution
Step-by-step explanation:
The square root of 121 is 11. There are no other solutions, I believe.
The answer is $12.5 for 10 bottles
U can see if it is a right triangle bu using the pythagorean theorem (or however it is spelled)
a^2 + b^2 = c^2....where a and b are the legs and c is the hypotenuse (the largest side)
so lets sub our numbers in and see if they equal
33^2 + 56^2 = 65^2
1089 + 3136 = 4225
4225 = 4225.......correct...so YES, this is a right triangle
Answer:
D) 5/2
Step-by-step explanation:
Scale factor = AB/DE = 35/14 = 5/2
