Question
A spherical balloon has a circumference of 23 cm. What is the approximate surface area of the balloon to the nearest square centimeter?
(1 point)
(1 point)
Answers
Answered by
GPT 3.5
To find the surface area of a sphere, we use the formula:
Surface area = 4πr²
Given that the circumference of the balloon is 23 cm, we can find the radius (r) using the formula for circumference:
Circumference = 2πr
23 = 2πr
r = 23 / (2π) ≈ 3.66 cm
Now we can plug in the radius into the surface area formula:
Surface area = 4π(3.66)²
Surface area ≈ 4π(13.39) ≈ 53.22 cm²
Therefore, the approximate surface area of the balloon is 53 square centimeters.
Surface area = 4πr²
Given that the circumference of the balloon is 23 cm, we can find the radius (r) using the formula for circumference:
Circumference = 2πr
23 = 2πr
r = 23 / (2π) ≈ 3.66 cm
Now we can plug in the radius into the surface area formula:
Surface area = 4π(3.66)²
Surface area ≈ 4π(13.39) ≈ 53.22 cm²
Therefore, the approximate surface area of the balloon is 53 square centimeters.