Question

If a smaller sphere has a diameter of 6 inches, a larger sphere has a diameter of 16 inches, find the ratio of the surface areas. Write your answer in the form a:b. Do not include the units.

Answer 1

@studying

Answer 2

@Chris911

Answer 3

The radius of the smaller sphere is 6/2
The radius of the larger sphere is 16/2
Calculate the surface areas and then compare them

Answer 4

im so confused @master50777

Answer 5

Plug in r = 3 and solve for SA.
Plug in r = 8 and solve for SA.
Then compare them... basic algebra

Answer 6

37:100 @master50777

Answer 7

The smaller SA should be 4(3)^2(pi) = 36pi
The larger SA will be 4(8)^2(pi) = 256pi
36pi:256pi:
36:256
9:64