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

Answer :

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