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

Answer:

Ethan's cylinder has a larger total surface area

Step-by-step 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