Answer: Ethan's cylinder has a larger total surface area.
Step-by-step explanation:
You total surface area of a cylinder can be calculated with the following formula:
[tex]TSA=2\pi rh+2\pi r^2[/tex]
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:
[tex]r_1=\frac{6.2\ in}{2}\\\\r_1=3.1\ in[/tex]
Knowing that:
[tex]h_1=8.8\ in[/tex]
You can subsitute values into the formula and find the total surface area:
[tex]TSA_{1}=2\pi (3.1\ in)(8.8\ in)+2\pi (3.1\ in)^2\\\\TSA_{1}=231.78\ in^2[/tex]
2) Total surface area of Ethan's cylinder
Knowing that the radius is half the diameter:
[tex]r_2=\frac{8.8\ in}{2}\\\\r_2=4.4\ in[/tex]
And having:
[tex]h_2=6.2\ in[/tex]
You can subsitute values into the formula and find the total surface area:
[tex]TSA_{2}=2\pi (4.4\ in)(6.2\ in)+2\pi (4.4\ in)^2\\\\TSA_{2}=293.04\ in^2[/tex]
Therefore, Ethan's cylinder has a larger total surface area.
