A balloon has a circumference of 16 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.
(1 point)
Responses
804 cm2
804 cm 2
326 cm2
326 cm 2
256 cm2
256 cm 2
81 cm2
To approximate the surface area of the balloon, we can use the formula for the surface area of a sphere:
Surface Area = 4πr^2
Since the balloon's circumference is given, we can use the formula for the circumference of a circle to find the radius:
Circumference = 2πr
Solving for the radius (r), we divide the circumference by 2π:
16 cm = 2πr
Dividing both sides by 2π, we get:
r = 16 cm / (2π) ≈ 2.546 cm
Now, we can substitute the value of the radius into the formula for surface area:
Surface Area = 4π(2.546 cm)^2 ≈ 81 cm^2
Therefore, the approximate surface area of the balloon is 81 cm^2.