Answered

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)

674 cm2

415 cm2

168 cm2

1,662 cm2

Verified Answer :

makaylatellez

168cm2
Let r cm be the radius of the balloon, then 
2pi(r)=23=>r=23/(2pi) 
The surface area= 
4pi(r^2)= 
4pi[23/2pi)]^2= 
(23^2)/pi=168.386 cm^2 
approximately.

The correct answer is 168 cm²

What is a sphere?

  • A sphere is formed by rotating a circle about one of its diameters.
  • A sphere is a 3-dimensional figure.

How to find surface area of a sphere?

The surface area(A) of a sphere can be found by the formula,

    A = 4πr², where r is the radius.

How to find the surface area of the baloon?

It is given,

A spherical balloon has a circumference of 23 cm

∴ 2πr = 23  

⇒ r = 3.66 cm

∴Radius of the sphere is 3.66 cm

Surface area of the baloon is A = 4πr² = (4 x π x 3.66²) cm²= 168.38 cm²

∴ Surface area of the baloon is≈ 168 cm²

Find out more information about sphere area calculations here:  https://brainly.com/question/1293273

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