The radii and the heights of the two cylinders are
- Cylinder 1: Height = 6 and Radius = 5
- Cylinder 2: Height = 10 and Radius = 3.87
<h3>How to determine the combinations of radius and height?</h3>
The volume of a cylinder is
V = πr²h
When the volumes of two cylinders are almost equal, then it means that:
V1 ≈ V2
This gives
πr²h ≈ πR²H
Divide both sides by π
r²h ≈ R²H
Assume that r = 5 and h = 6
So, we have:
5² * 6 ≈ R²H
Evaluate the product
150 ≈ R²H
Assume H = 10
So, we have:
150 ≈ R² * 10
Divide by 10
R² ≈ 15
Take the square root of both sides
R ≈ 3.87
Hence, the radii and the heights of the two cylinders are
<u>Cylinder 1</u>
Height = 6 and Radius = 5
<u>Cylinder 2</u>
Height = 10 and Radius = 3.87
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Answer:
Jamel work one job per hour pays =$10
Jamel work Another pays=$15
Jamel Uniform costs=$50
Total situation=$7,500
Answer:
(x - 7)² + (y + 2)² = (2√13)²
Step-by-step explanation:
We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):
r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.
Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²
Answer:
Step-by-step explanation:
Use the formula I=prt. (Interest = principle x rate x time)
So, I = 10700 x 0.07 (7% as a decimal) x 6
So, I = 749(6)
I = 4494
Now, divide 4494 by 6(12)
4494/71
This = 63.3 dollars.
Therefore, she is paying 63 dollars per month.
Answer:
C.
Step-by-step explanation:
We need to determine whether the given polynomial can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.
Hence final answe is choic C.