IXL | Volume of cylinders: changes in scale

Look at this cylinder:

5 mm

6 mm

If the height is doubled, then which of the following statements about its volume will be true?

The new volume will be

times the old volume.

The new volume will be

times the old volume.

The new volume will be

times the old volume.

The new volume will be

of the old volume.

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Learn with an example

question

Look at this cylinder:

1 in

If the height is tripled, then which of the following statements about its volume will be true?

The new volume will be

times the old volume.

The new volume will be

times the old volume.

The new volume will be

times the old volume.

The new volume will be

of the old volume.

solution

You can solve this problem without using the measurements given in the diagram.

The original cylinder had this volume:

V = 𝜋r²h

The new cylinder will have 3 times the height. Since the original height was h, the new height will be 3h. Calculate the volume:

V	=	𝜋r²(3h)

	=	3𝜋r²h

Divide the new volume by the original volume and simplify.

new volume

original volume

3𝜋r²h

𝜋r²h

The new volume will be

times the old volume.

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Lesson: Volume of cylinders

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Lesson: Volume of cylinders

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