PLEASE ANSWERhow many times larger is the volume of a cylinder if the radius is multiplied by 5

25 times

Step-by-step explanation:

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 5

So, the new radius = 5r

And the new volume = π (5r)² h

                                  = π (25r²) h

                                  = 25 π r² h

                                  = 25 the volume of the cylinder of radius r

So, if the radius is multiplied by 5, The volume of the cylinder will be 25 times larger.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: