Calculate and compare the surface area of a 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 .
A. Sphere A has the surface area of 4π in.2 and sphere B has a surface area of 100π in.2, meaning B's surface area is 25 times as large as sphere A's.
B. Sphere A has the surface area of 8π in.2 and sphere B has a surface area of 40π in.2, meaning B's surface area is 5 times as large as sphere A's.
C.Sphere A has the surface area of 16π in.2 and sphere B has a surface area of 400π in.2, meaning B's surface area is 25 times as large as sphere A's.
D.Sphere A has the surface area of 2π in.2 and sphere B has a surface area of 10π in.2, meaning B's surface area is 4 times as large as sphere A's.
The correct answer is A. Sphere A has the surface area of 4π in.2 and sphere B has a surface area of 100π in.2, meaning B's surface area is 25 times as large as sphere A's.
To calculate the surface area of a sphere, we use the formula 4πr2.
For sphere A with a radius of 2 in., the surface area is:
4π(2)^2 = 4π(4) = 16π in.2
For sphere B with a radius of 10 in., the surface area is:
4π(10)^2 = 4π(100) = 400π in.2
Therefore, sphere B has a surface area that is 25 times as large as sphere A's.