Aspherical balloon was inflated such that it had a diameter of 24 centimeters. additional helium was then added to the balloon until it had a diameter of 36 centimeters. approximately what volume of additional helium was added to the balloon? 904 cm³ 7235 cm³ 17,194 cm³ 24,429 cm³

To solve this we are going to use the formula for the volume of a sphere: 
where 
is the radius of the sphere 

Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm, . Lets replace that in our formula: 




Now, the second diameter of our sphere is 36, so its radius will be: . Lets replace that value in our formula one more time:




To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=

We can conclude that the volume of additional helium in the balloon is approximately 17,194 cm³.