Answer:
Doubling the radius and the height of a right cylinder will increase the value of its surface area by a factor of 4
Step-by-step explanation:
Mathematically, the surface area of a right cylinder can be calculated using the formula;
A = 2 π r (r + h)
now let’s double the radius and the height.
Our new r becomes 2r and our new height becomes 2h. Substituting these into the area formula, we have
A = 2 π (2r)( 2r+ 2h)
Let’s factor out all the 2 , we have
A = 4 π r (2(r+h))
A = 8 π r( r + h)
we can see that the value of the area has been increased by a factor of 4
