Question

Can you plz help me with number seven

Answer 1

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:

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

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:

$r_1=\frac{6.2\ in}{2}\\\\r_1=3.1\ in$

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:

$r_2=\frac{8.8\ in}{2}\\\\r_2=4.4\ in$

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.