Similar Figures and Surface Area Quick Check

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Question
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 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.

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 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 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.
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The correct response is:

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.