Question

Tommy and Ethan each ave a cylinder. Tommy's cylinder as a diameter of 6.2 inches and a height of 8.8 inches. Ethan cylinder as a diameter of 8.8 inches and a height of 6.2 inches . Whose cylinder ads a larger total surface area?

Answer 1

Ethan's cylinder has a larger total surface area

Explanation:

we know that

The surface area of a cylinder is equal to

`SA=2\pi r^(2)+2\pi rh`

step 1

Find the surface area of Tommy's cylinder

we have

`r=6.2/2=3.1\ in` ----> the radius is half the diameter

`h=8.8\ in`

substitute in the formula

`SA=2\pi (3.1)^(2)+2\pi (3.1)(8.8)`

`SA=19.22\pi+54.56\pi`

`SA=73.78\pi\ in^2`

step 2

Find the surface area of Ethan's cylinder

we have

`r=8.8/2=4.4\ in` ----> the radius is half the diameter

`h=6.2\ in`

substitute in the formula

`SA=2\pi (4.4)^(2)+2\pi (4.4)(6.2)`

`SA=38.72\pi+54.56\pi`

`SA=93.28\pi\ in^2`

Compare

`93.28\pi\ in^2 > 73.78\pi\ in^2`

therefore

Ethan's cylinder has a larger total surface area