Question

Two similar cylinders are shown in the image below.
If the smaller cylinder has a lateral area of approximately 302 square meters, what is the approximate lateral area of the larger cylinder?

1,618.5 square meters
924.9 square meters
528.5 square meters
98.6 square meters

Answer 1

Well the formula is La = 2(PI)rh, so lets enter what we already know of the smaller cylinder and find the radius
302 = 2(3.14)r(16)
302 =32(3.14)r
302 =100.48r
302/100.48 = r
3 = r
now lets find the similarity between them 16/28 = 4/7;
(3 / 4) =3/4
3/4 * 7 = 21/4
21/4 = 5.25
now lets find the lateral area for the larger one;
La= 2(pi)rh
La =2(3.14)(5.25)(28)
La =2(3.14)147
La =294(3.14)
La =923.16
Which is approximately the second answer choice; its not exact since their are other values for (pi) like 3.142857143, but i just used the smaller one since its easier and their were answer choices

Answer 2

wow thank so much your a life saver :)

Answer 3

np (: