Answer:
The lateral area would be multiplied by 9
Step-by-step explanation:
The lateral area of the cylinder can be calculated as follows:
lateral area = 2πrh
where:
r is the radius
h is the height
We are given that:
radius is multiplied by 3. This means that new radius is 3r
height is multiplied by 3. This means that new height is 3h
Substitute in the formula of the lateral area as follows:
lateral area = 2π(3r)(3h)
lateral area = 2*9*πrh
lateral area = 18πrh
Comparing the original lateral area with the new one, we would find that it is multiplied by 9
Hope this helps :)