Answer:
Step-by-step explanation:
The balloon is spherical in shape. The formula for determining the volume of a sphere is expressed as
Volume = 4/3 × πr³
Where
At represents the radius of the sphere.
π is a constant whose value is 3.14
The diameter of the balloon before it was launched is 5 feet
Radius = diameter/2
r = 5/2 = 2.5
Therefore, volume at launch is
4/3 × 3.14 × 2.5³
= 65.42 ft³
When the balloon burst, the diameter is 28 ft
Radius = 28/2 = 14 ft
Therefore, volume when it burst is
4/3 × 3.14 × 14³
= 11488.2 ft³
The difference in volume of the balloon when it burst compared to at launch is
11488.2 - 65.42 = 11422.78 ft³
