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
Read more about cylinder volume at:
brainly.com/question/9554871
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