Volume of Sphere
1. What is the radius of the stone sphere?
- To know what is the radius divide is by 2.
- [tex] \large \tt 6 \div 2 = 3[/tex]
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 [tex] \tt V = \frac{4}{3}\pi r^3[/tex] to get the answer. Where the volume of the sphere is [tex]\tt\frac{4}{3}\:\:\:\:\pi[/tex] multiplied by the cube of the radius.
- [tex] \tt V = \frac{4}{3}\pi r^3[/tex]
- [tex] \tt V = \frac{4}{3}\times 3.14\times 3in^3[/tex]
- [tex] \tt V = \frac{4}{3}\times 3.14\times 27in[/tex]
- [tex] \tt V = \frac{4}{3}\times 84.78in[/tex]
- [tex] \tt V = \frac{339.12in}{3}[/tex]
- [tex] \tt V = 113.04in^3[/tex]
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 [tex] \tt V = \frac{4}{3}\pi r^3[/tex] to get the answer. Where the volume of the sphere is [tex]\tt\frac{4}{3}\:\:\:\:\pi[/tex] multiplied by the cube of the radius.
- [tex] \tt V = \frac{4}{3}\pi r^3[/tex]
- [tex] \tt V = \frac{4}{3}\times 3.14\times 5in^3[/tex]
- [tex] \tt V = \frac{4}{3}\times 3.14\times 125in[/tex]
- [tex] \tt V = \frac{4}{3}\times 392.5in[/tex]
- [tex] \tt V = \frac{1570in}{3}[/tex]
- [tex] \tt V = 523.33in^3[/tex]
Explanation
Therefore, the volume of the stone sphere is 523.33in³
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