A spherical balloon has a circumference of 23 cm. What is the approximate surface area of the balloon to the nearest square centimeter?
To find the surface area of a spherical balloon, we can use the formula:
Surface Area = 4πr^2
First, we need to find the radius of the balloon using the circumference. The circumference of a sphere is calculated by:
Circumference = 2πr
23 cm = 2πr
r = 23 / (2π) ≈ 3.66 cm
Now, we can plug in the radius into the formula for surface area:
Surface Area = 4π(3.66)^2 ≈ 167.95 cm^2
Therefore, the approximate surface area of the balloon is 168 square centimeters.