The formula for the circumference of a sphere is C = 2πr, where C is the circumference and r is the radius. In this case, the circumference is given as 23 cm.
To find the radius, we can rearrange the formula as r = C / (2π). Plugging in the given circumference, we get r = 23 cm / (2π) ≈ 3.6597 cm.
The formula for the surface area of a sphere is A = 4πr^2, where A is the surface area and r is the radius. Plugging in the calculated radius, we get A = 4π(3.6597 cm)^2 ≈ 168.3632 cm^2.
To the nearest square centimeter, the approximate surface area of the balloon is 168 cm^2. Therefore, the correct answer is 168 cm2.
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)
Responses
674 cm2
674 cm 2
415 cm2
415 cm 2
168 cm2
168 cm 2
1,662 cm2
1,662 cm 2
1 answer
1 answer