CliffordFogerson
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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.

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.