Question

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

Sphere A
has a surface area of 8π in.2
and sphere B
has a surface area of 40π in.2
, meaning sphere B
’s surface area is 5 times as large as sphere A
’s.
Sphere upper A has a surface area of 8 pi inches squared and sphere upper B has a surface area of 40 pi inches squared , meaning sphere upper B ’s surface area is 5 times as large as sphere upper A ’s.

Sphere A
has a surface area of 2π in.2
and sphere B
has a surface area of 10π in.2
, meaning sphere B
’s surface area is 4 times as large as sphere A
’s.
Sphere upper A has a surface area of 2 pi inches squared and sphere upper B has a surface area of 10 pi inches squared , meaning sphere upper B ’s surface area is 4 times as large as sphere upper A ’s.

Sphere A
has a surface area of 4π in.2
and sphere B
has a surface area of 100π in.2
, meaning sphere B
’s surface area is 25 times as large as sphere A
’s.
Sphere upper A has a surface area of 4 pi inches squared and sphere upper B has a surface area of 100 pi inches squared , meaning sphere upper B ’s surface area is 25 times as large as sphere upper A ’s.

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

Answer 1

Surface area formula: SA = 4πr^2.

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

Ratio: 400π / 16π = 25.

So Sphere B’s surface area is 25 times Sphere A’s.