Question

Calculate and compare the surface area of sphere A
𝐴
, which has a radius of 2 in
𝑖
𝑛
., and sphere B
𝐵
, which has a radius of 10 in
𝑖
𝑛
. The formula for the surface area of a sphere is 4πr2
4
𝜋
𝑟
2
.(1 point)
Responses

Sphere A
𝐴
has a surface area of 16π in.2
16
𝜋

in.
2
and sphere B
𝐵
has a surface area of 400π in.2
400
𝜋

in.
2
, meaning sphere B
𝐵
's surface area is 25 times as large as sphere A
𝐴
’s.
Sphere upper A has a surface area of 16 pi inches squared and sphere upper B has a surface area of 400 pi inches squared , meaning sphere upper B 's surface area is 25 times as large as sphere upper A ’s.

Sphere A
𝐴
has a surface area of 2π in.2
2
𝜋

in.
2
and sphere B
𝐵
has a surface area of 10π in.2
10
𝜋

in.
2
, meaning sphere B
𝐵
’s surface area is 4 times as large as sphere A
𝐴
’s.

Answer 1

Surface area = 4πr^2.

Sphere A (r = 2): 4π(2^2) = 4π·4 = 16π in^2.
Sphere B (r = 10): 4π(10^2) = 4π·100 = 400π in^2.

Ratio: 400π / 16π = 25, so sphere B's surface area is 25 times sphere A's.