Question

Volume of sphere Marcus is using small stone spheres

Answer 1

Volume of Sphere

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

• 
  `\large \tt 6 / 2 = 3`

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere
`\tt V = (4)/(3)\pi r^3` to get the answer. Where the volume of the sphere is
`\tt(4)/(3)\:\:\:\:\pi` multiplied by the cube of the radius.

• 
  `\tt V = (4)/(3)\pi r^3`
• 
  `\tt V = (4)/(3)* 3.14* 3in^3`
• 
  `\tt V = (4)/(3)* 3.14* 27in`
• 
  `\tt V = (4)/(3)* 84.78in`
• 
  `\tt V = (339.12in)/(3)`
• 
  `\tt V = 113.04in^3`

Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for π, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere
`\tt V = (4)/(3)\pi r^3` to get the answer. Where the volume of the sphere is
`\tt(4)/(3)\:\:\:\:\pi` multiplied by the cube of the radius.

• 
  `\tt V = (4)/(3)\pi r^3`
• 
  `\tt V = (4)/(3)* 3.14* 5in^3`
• 
  `\tt V = (4)/(3)* 3.14* 125in`
• 
  `\tt V = (4)/(3)* 392.5in`
• 
  `\tt V = (1570in)/(3)`
• 
  `\tt V = 523.33in^3`

Step-by-step explanation

Therefore, the volume of the stone sphere is 523.33in³

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