Question

If the radius and height of a cylinder are multiplied by 3, the lateral area of the cylinder is multiplied by

Answer 1

Answer:
The lateral area would be multiplied by 9

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 :)