Question

a cylinder has. surface area of 6pi square feet. a second similar cylinder has a surface area of 150 pi square feet. what is the ratio of the circumferences of the bases of the two cylinders

Answer 1

The ratio of the circumferences of the bases of the two cylinders is; 25

Surface Area of a cylinder.

Formula for lateral surface area of a cylinder is;

LSA = 2πrh

Thus,for first cylinder;

2πrh = 6π

Thus;

rh = 3 - - - - (eq 1)

Similarly;

2πr2h = 150π

r2h = 75 - - - (eq 2)

Divide eq 2 by eq 1 to get;

r2/r = 75/3

r2/r = 25

r2 = 25r

Thus;

Circumference of base of bigger cylinder = 2π(25r) = 50πr

Circumference of smaller cylinder = 2πr

Thus;

Ratio = 50πr/2πr

Ratio = 25

Read more about surface area of a cylinder at; https://brainly.com/question/24322766