Answer:
9 times
Step-by-step explanation:
how many times larger is the volume of a cylinder if the radius is multiplied by 3
Let the radius of the cylinder is r and the height is h
So, the volume of the cylinder is π r² h
If the radius is multiplied by 3
So, the new radius = 3r
And the new volume = π (3r)² h
= π (9r²) h
= 9 π r² h
= 9 the volume of the cylinder of radius r
So, if the radius is multiplied by 3, The volume of the cylinder will be 9 times larger.
