Answer:
F
Step-by-step explanation:
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
Welming's spending is $1164.8 and his savings is $291.2
<h3>How to determine the savings and the spending?</h3>
The given parameters are:
Weekly pocket = $28
Save = 20%
There are 52 weeks in a year.
So, the yearly pocket is:
Yearly pocket = $28 * 52
Evaluate
Yearly pocket = $1456
He saves 20%.
So, we have:
Savings = 20% * $1456
Evaluate
Savings = $291.2
His spending is then calculated as:
Spending = $1456 - $291.2
Evaluate
Spending = $1164.8
Hence, Welming's spending is $1164.8 and his savings is $291.2
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Answer:
F.
A.
Step-by-step explanation:
hope this helps you
Answer:
Step-by-step explanation:
The standard equation of a circle is given by:
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:
Simplify. Hence, our equation is:
