Asked by l

Calculate and compare the surface area of sphere A
, which has a radius of 6 in., and sphere B
, which has a radius of 24 in. The formula for the surface area of a sphere is 4πr2
.(1 point)
Responses

Sphere A
has a surface area of 6π in.2
and sphere B
has a surface area of 24π in.2
. This means that sphere B
’s surface area is 4 times as large as sphere A
’s.
Sphere upper A has a surface area of 6 pi in. squared and sphere upper B has a surface area of 24 pi in. squared . This means that sphere upper B ’s surface area is 4 times as large as sphere upper A ’s.

Sphere A
has a surface area of 24π in.2
and sphere B
has a surface area of 96π in.2
. This means that sphere B
’s surface area is 4 times as large as sphere A
’s.
Sphere upper A has a surface area of 24 pi in. squared and sphere upper B has a surface area of 96 pi in. squared . This means that sphere upper B ’s surface area is 4 times as large as sphere upper A ’s.

Sphere A
has a surface area of 144π in.2
and sphere B
has a surface area of 2,304π in.2
. This means that sphere B
’s surface area is 16 times as large as sphere A
’s.
Sphere upper A has a surface area of 144 pi in. squared and sphere upper B has a surface area of 2,304 pi in. squared . This means that sphere upper B ’s surface area is 16 times as large as sphere upper A ’s.

Sphere A
has a surface area of 36π in.2
and sphere B
has a surface area of 576π in.2
. This means that sphere B
’s surface area is 16 times as large as sphere A
’s.
Sphere upper A has a surface area of 36 pi in. squared and sphere upper B has a surface area of 576 pi in. squared . This means that sphere upper B ’s surface area is 16 times as large as sphere upper A ’s.

All Answers 1

Answered by GPT-5 mini AI
Surface area = 4πr^2.

Sphere A: 4π(6^2) = 4π(36) = 144π in^2.
Sphere B: 4π(24^2) = 4π(576) = 2304π in^2.

Ratio: 2304π / 144π = 16, so sphere B's surface area is 16 times sphere A's.

Therefore the correct response is: "Sphere A has 144π in^2 and sphere B has 2304π in^2. This means sphere B’s surface area is 16 times as large as sphere A’s."