Question

When purchased, a beach ball is deflated and packaged flat. The package states that when inflated to its maximum capacity, the radius of the inflated ball is

6.3
inches. To the nearest hundredth of a cubic inch, how much air will occupy the space contained by the inflated beach ball? Use
3.14
for
π
. In your final answer, include all of your calculations.

WILL GIVE 99 POINTS!

Answer 1

1046.86 cubic inches of air

Explanation:

Hello There!

Essentially what this question is asking for is the volume of a sphere

To put it in a more understandable way, A ball usually has a spherical shape and if the inside space (volume) is filled up then how much cubic inches of air will the ball require to fill it up given that the radius of the ball inflated is 6.3 inches

The formula for volume of a sphere is

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

where r = radius

we are given the radius so all we have to do is plug in the value into the formula so

`V=(4)/(3) \pi 6.3^3\\6.3^3=250.47\\\\250.47*(4)/(3) =333.396\\\\333.396*3.14=1046.86344\\V=1046.86344`

our final step is to round to there nearest hundredth

so we can conclude that 1046.86 cubic inches of air will occupy the inflated balloon

Answer 2

1046.86344 or 1046.86

Explanation:

volume of a sphere is (4/3) · π · r^3, so you can plug in the values and get--

(4/3)*3.14*6.3^3 which gives you 1046.86344