Answer:
The weight of the sphere = 2947 pounds
Step-by-step explanation:
* Lets revise the volume of the sphere
- The volume of the sphere is 4/3 π r³, where r is the radius of
the sphere
- Density = mass ÷ volume
- Mass is the weight and volume is the size, so density is weight
divided through size
- Density = weight ÷ volume
* Now lets solve the problem
∵ The clay's density ≅ 88 pounds/cubic foot
∵ The radius of the sphere is 2 feet
∵ The volume of the sphere = 4/3 π r³
∴ The volume of the sphere = 4/3 π (2)³ = 32/3 π feet³
∵ Density = weight/volume ⇒ by using cross multiply
∴ Weight = density × volume
∵ Density = 88 pounds/foot³
∵ Volume = 32/3 π feet³
∵ π = 3.14
∴ The weight of the sphere = 88 × 32/3 × 3.14 = 2947 pounds
