Mathematics

Question

For a birthday party, Mrs. Guilliano bought 11 spherical balloons, each with an inflated diameter of 1.5 ft.

What is the volume of helium needed to fill all 11 balloons?

Select from the drop-down menu to correctly complete the statement.
The volume of helium needed to fill 11 balloons is about (1.8) (14.1) (19.4) (155.1) ​ft³

2 Answer

  • Your answer should be C: 19.4
  • Answer:

    The volume of helium needed to fill 11 balloons is 19.4 ft³

    C is correct

    Step-by-step explanation:

    For a birthday party, Mrs. Guilliano bought 11 spherical balloons, each with an inflated diameter of 1.5 ft.

    Balloons are spherical with diameter 1.5 ft

    Radius of spherical = Half of diameter

    Radius (r) = 0.75 ft

    [tex]\text{Volume of Sphere}=\dfrac{4}{3}\pi r^3[/tex]

    Volume of each balloon [tex]=\dfrac{4}{3}\pi (0.75)^3\Rightarrow 1.767[/tex] ft³

    Amount of helium for 1 balloon = 1.767 ft³

    Amount of helium for 11 balloons = 11 x 1.767 = 19.4 ft³

    Hence, The volume of helium needed to fill 11 balloons is 19.4 ft³

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