4. A rectangular strip of aluminum, 30 cm long and 10 cm wide, is rolled into the form of a cylinder. Which would have the greater volume, a cylinder 10 cm high with circumference of 30 cîn or a cylinder
30 cm high with circumference of 10 cm?

A cylinder 10 cm high with a circumference of 30 cm would have a greater volume

Step-by-step explanation:

Volume of a Cylinder

Given a cylinder of radius r and height h, the volume is calculated as:

It's given a rectangular strip of aluminum 30 cm long and 10 cm wide. If we roll it to form a cylinder we can do it in two ways.

Rolling it across its length will make the cylinder have a height of h=10 cm and the circumference of the base equal to 30 cm.

The circumference of a circle of radius r is:

Thus the radius is:

Thus the volume of the cylinder is:

If we rolled the strip across its width, then the height will be h=30 cm and the circumference C=10 cm, thus the radius is:

And the volume is:

Dividing V/V' = 3. The first volume it 3 times as much as the second volume.

A cylinder 10 cm high with a circumference of 30 cm would have a greater volume

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step-by-step explanation:

so then what are you asking?

step-by-step explanation: