Answer:
The approximate volume of rubber used to make the ball is 636.4 cm³ ⇒ 3rd answer
Step-by-step explanation:
The formula of the volume of a sphere is V = [tex]\frac{4}{3}[/tex] π r³, where r is its radius
∵ The hollow ball is shaped a sphere
∵ The ball has a radius to the outside surface of 6 centimeters
∴ The outer radius = 6 centimeters
∵ The ball is made of rubber that is 2 centimeters thick
∴ The thickness of the rubber = 2 centimeters
- The difference between the outside radius and the inside
radius is equal to the thickness of the rubber
∴ The inner radius = 6 - 2 = 4 centimeters
The volume of the rubber = the outer volume - the inner volume
Lets calculate the outer and inner volumes
∵ V = [tex]\frac{4}{3}[/tex] π r³
∴ V(inner) = [tex]\frac{4}{3}[/tex] (3.14)(4)³
∴ V(inner) = 267.95 cm³
∴ V(outer) = [tex]\frac{4}{3}[/tex] (3.14)(6)³
∴ V(outer) = 904.32 cm³
- By using the rule above find the volume of the rubber
∵ The volume of the rubber = 904.32 - 267.95
∴ The volume of the rubber = 636.37 cm³
- Round it to the nearest tenth
∴ The volume of the rubber = 636.4 cm³
The approximate volume of rubber used to make the ball is 636.4 cm³
