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:
Current debt of Andrea = $7,150
Step-by-step explanation:
Given:
Loan taken by Andrea from bank = $25,850
Amount paid by Andrea to bank = $18,700
Find:
Current debt of Andrea
Computation:
⇒ Current debt of Andrea = Loan taken by Andrea from bank - Amount paid by Andrea to bank
⇒ Current debt of Andrea = 25,850 - 18,700
Current debt of Andrea = $7,150
Note: O information provide about interest.
Answer:
a. (x + 4)² + (y – 7)² = 3²
Step-by-step explanation:
General equation for a circle is:
(x – h)² + (y – k)² = r²
h and k are the center (h, k), and r is the radius.
They want a center of (-4, 7) so h=-4 and k=7
They want a radius of 3 so r=3
plug it into the equation.
(x – h)² + (y – k)² = r²
(x – (-4))² + (y – (7))² = (3)²
(x + 4)² + (y – 7)² = 3²
Answer:
28.25
Step-by-step explanation:
just do 226 divided by 8
<span> </span> <span>if you want to determine the perimeter / length, use a normal measure - ft.
The area is
<span>and the volume</span></span>
