If the radius and the height of a right cylinder are both tripled, by what factor will the surface area increase?

The surface area will increase by 9

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

Step one

We know that the surface area of a cylinder is given as

A = 2πrh + 2πr²

A = 2π (rh + r²)

Since the radius and the height is tripled r=3r, h = 3h

A = 2π (3r*3h + (3r) ²)

A = 2π (9rh + 9r²)

Factoring 9 out we have

A = 9*2π (rh + r²)

Hence the surface area will increase by 9