Question

Can you plz help me with number seven

thank you
i love you who ever is helping me
in a friend way

Answer 1

Answer: Ethan's cylinder has a larger total surface area.

Explanation:

You total surface area of a cylinder can be calculated with the following formula:

`TSA=2\pi rh+2\pi r^2`

Where "r" is the radius and "h" is the height of the cylinder,

Then:

1) Total surface area of Tommy's cylinder

Since the radius is half the diameter:

`r_1=(6.2\ in)/(2)\\\\r_1=3.1\ in`

Knowing that:

`h_1=8.8\ in`

You can subsitute values into the formula and find the total surface area:

`TSA_(1)=2\pi (3.1\ in)(8.8\ in)+2\pi (3.1\ in)^2\\\\TSA_(1)=231.78\ in^2`

2) Total surface area of Ethan's cylinder

Knowing that the radius is half the diameter:

`r_2=(8.8\ in)/(2)\\\\r_2=4.4\ in`

And having:

`h_2=6.2\ in`

You can subsitute values into the formula and find the total surface area:

`TSA_(2)=2\pi (4.4\ in)(6.2\ in)+2\pi (4.4\ in)^2\\\\TSA_(2)=293.04\ in^2`

Therefore, Ethan's cylinder has a larger total surface area.