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Volume ≈ | x=b ∑ x=a |
πy^{2}(Δx) |
Volume = | ∫ | b | πy^{2} dx |
a |
Volume ≈ | x=b ∑ x=a |
2πxy•(Δx) |
Volume = | ∫ | b | 2πxy dx |
a |
Volume = 2π | ∫ | b | xy dx |
a |
Volume = π | ∫ | b | y^{2} dx (rotating around the y axis) |
a |
Volume = 2π | ∫ | b | xy dx (rotating around the x axis) |
a |
y |
= x | r h |
Volume = π | ∫ | b | y^{2} dx |
a |
Volume = π | ∫ | h | (rx / h)^{2} dx |
0 |
Volume = π | r^{2} | ∫ | h | x^{2} dx |
h^{2} | 0 |
Volume = π | r^{2} h^{2} |
( | h^{3} 3 |
) | = | πr^{2}h 3 |
Volume of a section of a sphere = π | ∫ | h | 2xr - x^{2} dx |
0 |
= π | ( | h^{2}r - | h^{3} 3 |
) |
Volume of a section of a sphere = πh^{2} | ( | r - | h 3 |
) |
Have you found an error or do you want to add more
information to these pages? You can contact me at the bottom of the home page. |