Calculate and compare the surface area of sphere A%0D%0A%0D%0A , which has a radius of 2 in., and sphere B%0D%0A%0D%0A , which has a radius of 10 in. The formula for the surface area of a sphere is 4πr2%0D%0A4%0D%0A%0D%0A%0D%0A2%0D%0A .(1 point)
Sphere A%0D%0A%0D%0A has a surface area of 2π in.2%0D%0A2%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A and sphere B%0D%0A%0D%0A has a surface area of 10π in.2%0D%0A10%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A, meaning sphere B%0D%0A%0D%0A’s surface area is 4 times as large as sphere A%0D%0A%0D%0A’s.
Sphere A%0D%0A%0D%0A has a surface area of 4π in.2%0D%0A4%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A and sphere B%0D%0A%0D%0A has a surface area of 100π in.2%0D%0A100%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A, meaning sphere B%0D%0A%0D%0A’s surface area is 25 times as large as sphere A%0D%0A%0D%0A’s.
Sphere A%0D%0A%0D%0A has a surface area of 8π in.2%0D%0A8%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A and sphere B%0D%0A%0D%0A has a surface area of 40π in.2%0D%0A40%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A, meaning sphere B%0D%0A%0D%0A’s surface area is 5 times as large as sphere A%0D%0A%0D%0A’s.
Sphere A%0D%0A%0D%0A has a surface area of 16π in.2%0D%0A16%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A and sphere B%0D%0A%0D%0A has a surface area of 400π in.2%0D%0A400%0D%0A%0D%0A %0D%0Ain.%0D%0A2%0D%0A, meaning sphere B%0D%0A%0D%0A’s surface area is 25 times as large as sphere A%0D%0A%0D%0A’s.
The correct answer is:
Sphere A has a surface area of 4π in.2 (approximately 12.57 in.2) and sphere B has a surface area of 400π in.2 (approximately 1256.64 in.2), meaning sphere B’s surface area is 100 times as large as sphere A’s.