Mathematics

Question

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

2 Answer

  • 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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