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A round balloon is filled with 179.5 cubic inches of helium what is the diameter of the balloon

1 Answer

4 votes

Answer:

The diameter of the balloon is
7\ in

Explanation:

we know that

The volume of a sphere (balloon) is equal to


V=(4)/(3)\pi r^(3)

we have


V=179.5\ in^(3)


\pi =3.14

substitute and solve for r


179.5=(4)/(3)(3.14)r^(3)


r^(3)=179.5*3/[(4)*(3.14)]


r=3.5\ in

Find the diameter

The diameter is two times the radius


D=2(3.5)=7\ in

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