A balloon has a circumference of 16 cm. use the circumvents to approximate the surface area of the balloon to the nearest Square centimeter.
A. 804 CM ^2
B. 326 Cm^2
C. 256 cm^2
D. 81 cm^2

PLEASE HELP ASAP!!!!!

Respuesta :

I think it's C. 256cm

Assuming the balloon to be a sphere, the surface area of the balloon is 81 cm^2.

What is the radius of the balloon?

Assuming the balloon is circular in shape, the radius of the balloon is calculated from its circumference thus:

[tex]radius = \frac{circumference}{2\pi}[/tex]

[tex]radius = \frac{16 cm × 7}{2×22}=2.54cm[/tex]

Assuming the balloon to be a sphere, the surface area, SA of the balloon is calculated as follows:

[tex]surface \: area = 4\pi r^{2}[/tex]

[tex]SA = 4 × 2.54^{2} × \frac{22}{7} = 81.1 cm^{2}[/tex]

Therefore, the surface area of the balloon is 81 cm^2.

Learn more about about surface area at: https://brainly.com/question/76387

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