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
The correct equation to solve for x would be 12x - 19 + 4x + 1 = 180
4 sq.units
area of a rectangle = length × breadth
length = 4units
breadth = 1units
A = l × b
= 4 × 1
= 4 sq.units
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Answer:
How much will you save if you take the better deal?
Antole Store discount: $ 45.96 x 20% = $ 9.99
Sergei Store Discount: $ 46.75 x 25% = $ 11.69
If you buy at a Sergei store, you get a discount on your payout compared to an Antole store of $ 1.7
Step-by-step explanation:
