Question

Using the online tool, find two different combinations of radius and height that produce two cylinders with nearly the same volume. Record the
dimensions and volumes of the two cylinders below.

Answer 1

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

How to determine the combinations of radius and height?

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

Cylinder 1

Height = 6 and Radius = 5

Cylinder 2

Height = 10 and Radius = 3.87

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