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

Question

asked Nov 27, 2020 144k views

1 Answer

Mrjandro · Answer 1 · 2020-12-02T06:10:53+0000

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

$D=2(3.5)=7\ in$