Answer:
[tex]257.74 in^2[/tex]
Step-by-step explanation:
Step one:
Given data
John's cylinder
radius of 7 inches and
height of 10 inches
Required:
The difference in the total surface areas of the two cylinders
[tex]A=2 \pi rh+2 \pi r^2[/tex]
substitute we have
[tex]A=2 *3.142* 7*10+2 *3.142*7^2\\\\A=477.68+307.916\\\\A=785.596 in^2[/tex]
Jeff's cylinder
radius of 6 inches and
height of 8 inches
[tex]A=2 *3.142* 6*8+2 *3.142*6^2\\\\A=301.632+226.224\\\\A=527.856 in^2[/tex]
The difference in the total surface areas is
=785.596-527.856
=257.74 in^2
