Answer:
288π or 904.78
Step-by-step explanation:
We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is [tex]\frac{4}{3}[/tex] × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.
Volume = [tex]\frac{4}{3}[/tex] × π × r³
→ Let's substitute in the values
Volume = [tex]\frac{4}{3}[/tex] × π × 6³
→ Simplify
Volume = [tex]\frac{4}{3}[/tex] × π × 216
→ Simplify further
Volume = 288π or 904.78
The amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.
The "set of all points in 3 dimensional space is lying the same distance from the given points or center" is called sphere.
According to the question,
Diameter of sphere shape beach ball is 12inches
Radius of sphere shape beach ball is 12/2 = 6inches
Volume of sphere = [tex]\frac{4}{3}[/tex] × π × r³
= [tex]\frac{4}{3}[/tex] × [tex]\frac{22}{7}[/tex] × (6)³
= 904.78inches
Hence, the amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.
Learn more about sphere here
https://brainly.com/question/20377790
#SPJ2
