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
15. 75 s̶i̶n̶c̶e̶ 20.00 p̶o̶u̶n̶d̶s̶ - 4a̶n̶d̶ 25 p̶o̶u̶n̶d̶s̶ e̶q̶u̶a̶l̶ 15.75 p̶o̶u̶n̶d̶s̶
Answer:
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
(5x-7 )+(4x-11)=180 ( it equals 180 because those two angles equal 180)
Then add the similar things together
5x+4x=9x
-7-11= -18
9x-18=180, add 18 on both sides to get 9x alone
9x=180, then divide 180 by 9 to get x alone
x=22
Answer:
3.5 mi = 18480 ft
Step-by-step explanation:
There are 5,280 feet for every one mile. Because there are 3.5 mile, you would multiply 5,280 x 3.5, getting 18480 feet.