Mathematics: If the amount of air in a spherical balloon is 288 pi cu. in., what is the radius of the balloon?

1, 3, 6, 6, 10 , 15, 21, 28 the rule is to add 1 then 2 then 3 and on1 + 2 = 3 + 3 = 6 + 4 = 10 + 5 = 15 + 6 = 21 + 7 = 28 :)...

If the amount of air in a spherical balloon is 288

adelawilliams60

16.01.2022

Radius of the balloon is 6 in.

Step-by-step explanation:

Given: Amount of Air in balloon = $288\pi\,in.^3$

Shape of balloon is sphere .

To find: radius of balloon.

Let r be the radius of sphere or balloon.

We use formula of volume of sphere.

$Volume\:of\:Sphere=\frac{4}{3}\times\pi r^3$

$288\pi=\frac{4}{3}\times\pi r^3$

$r^3=\frac{288\times\pi\times3}{4\times\pi}$

$r^3=72\times3$

r^3=216

$r=\sqrt[3]{216}$

r=6

Therefore, Radius of the balloon is 6 in.

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