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
<em>Hello there, and thank you for asking your question here on brainly.
<u>Short answer: A. 1272 cm</u></em>³
<em>
Why?
When finding the volume of a cone, you use the formula <u>V = </u></em><u><em>πr²h/3. </em></u><em>R = 9, H = 15. V = π9²15/3 9</em>² = <em>81 | 15 / 3 = 5 | 3.14 * 81 = 254.34 | 254.34 * 5 = 1271.2 1272 rounded.
Hope this helped you! ♥</em>
Answer:
√(137)
Step-by-step explanation:
First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:
L x W = 44
4 x W = 44
W =11
Now the Pythag, Theorem:
diagonal^2 = 4^2 + 11^2
d^2 = 16+121
d^2 = 137
d = √(137)
Answer:
-3
Step-by-step explanation:
3 times 6 is 18
3 times -2x is -6x
put -6x on the other side and divide 18 by -6x and you get -3
Answer:
Step-by-step explanation:
11.
to find floor area:
= 8 x 8
= 64
= Floor is 64m.
to find carpet: 8 x 8 x 75%
= 64 x 75%
= 64 x 0.75
= 48
a. The dimensions of the carpet are probably 8 by 8.
b. The area of the floor not covered by carpet is 64, hence 8 x 8.
12.
A perfect square is a square that has demensions that is a number multiplied by itself.
Eight times eight fits the requirements, so this square is in fact perfect.
Have a lovely day!
