What happens to the volume of a cylinder when you multiply the height by 1/3

Answer 1

Hello Cazahlaya,

The volume of a cylinder is V = πr²h.

So if you multiply h by 1/3, you get

V = πr²[(1/3)]h.

Since you can multiply in any order you want, you can move the (1/3) out front to get

V = [(1/3)]πr²h.

So, you would get 1/3 of the original volume.

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As a contrast to this, what would happen if you multiplied the radius by 1/3?

Then you would have

V = π[(1/3)r]²h

→ V = π(1/9)r²h

→ V = (1/9)πr²h

→ you would have 1/9 of the original volume.

Thank you for posting the question, and have a great evening.

Michael