CliffordFogerson
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A spherical balloon has a circumference of 21 cm. What is the approximate surface area of the balloon to the nearest square centimeter? A. 1,385 cm^2 B. 561 cm^2 C. 346 cm^2 D. 140 cm^2

Sagot :

lulu1991
The answer is D. 140 cm². I think the circumference of the balloon means the circumference of the biggest circle. So the 21=2πr². While the surface area of a sphere is S=4πr². So the S≈140 cm².

Answer:

Surface area of sphere = 144 cm².

Step-by-step explanation:

Given  : A  spherical balloon has a circumference of 21 cm.

To find :  What is the approximate surface area of the balloon to the nearest square centimeter,

Solution : We have given that circumference of sphere = 21 cm.

Circumference of sphere = 2 * pi * radius .

Plug the value of circumfrence

2 * pi * radius  = 21 cm

2 * 3.14 * radius = 21

radius * 6.28 = 21

On dividing by 6.28 both sides

Radius =  [tex]\frac{21}{6.28}[/tex]

Radius =  3.34 cm

Surface area of sphere = 4 * pi * (radius )².

Surface area of sphere = 4 * 3.14 * (3.34 )².

Surface area of sphere = 144.11 cm²

Therefore, Surface area of sphere = 144 cm².

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.