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The volume is increased by a factor of 9.
Hope this helps.
Step-by-step explanation:
Area of base = π r²
Replacing r with 3r (i.e. tripling the radius), this becomes
Area = π (3r)² = 9 π r²
which is 9 times larger than what we started with.
Volume of cylinder = area of base × height
We just saw that tripling the radius increases the area of base by a factor of 9, so the volume of the cylinder is increased by a factor of 9, too.
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