A balloon has circumference of 16 cm. Use the circumference to approximate surface area of the balloon to the nearest square centimeter.
804 cm^2
326 cm^2
256 cm^2
81 cm^2
We know that the formula for the circumference of a sphere is C = 2πr, where r is the radius of the sphere.
Therefore, 2πr = 16 cm
Dividing by 2π on both sides, we get:
r = 2.54 cm
The formula for the surface area of a sphere is A = 4πr^2
Plugging in the radius we just found, we get:
A = 4π(2.54)^2
A = 101.78 cm^2
Rounding this to the nearest square centimeter, we get:
A ≈ 102 cm^2
Therefore, the answer is not given in the options.