This is the slide deck for the YouTube animation showing where the formula for volume of a sphere comes from.

1. Discovering the Formula for
Volume of a Sphere
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2. Recall Volume of a Cylinder
r2 π
V = πr2 x Height
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3. Recall Volume of a Cylinder
r2 π
V = πr2 h
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4. 3
Recall Volume of a Cylinder
r2 π
V = πr2h h
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5. Recall Volume of a Cone
r2 π
h V = πr2h
3
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6. h + =
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7. + h =
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8. + = h
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9. + =
r
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10. + =
r
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11. + = r
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12. πr2h
3
+ =
πr2h
3
+ = Volume of
a Sphere
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13. r
πr2h
3
+ = h
r
πr2h
3
+ = Volume of
a Sphere
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14. πr2h
3
+ = rh
πr2h
3
r
+ = Volume of
a Sphere
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15. πr2h
3
+ = h
r
r
πr2h
3
+ = Volume of
a Sphere
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16. πr2h
3
+ = h
πr2h
3
r
r
+ = Volume of
a Sphere
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17. r
r
πr2h
3
r
+ = h
r
πr2h
3
+ = Volume of
a Sphere
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18. r
r
πr h
3
r
+ =
r
πr h
3
h
+ = Volume of
a Sphere
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19. r
r
(r+r) (r+r)
πr h
3
r
+ =
r
πr h
h
+ = Volume of
3
a Sphere
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20. πr
r
r
(r+r) (r+r)
3
r
+ =
r
πr
h
+ = Volume of
3
a Sphere
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21. πr
r
r
( +r ) ( +r )
3
r
+ =
r
πr
h
+ = Volume of
3
a Sphere
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22. πr
r
r
( 2r ) ( 2r )
3
r
+ =
r
πr
h
+ = Volume of
3
a Sphere
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23. r
+ =
r
r
r
2 r 2 r
πr
πr
3
h
+ = Volume of
3
a Sphere
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24. r
+ =
r
r
r
2 r 2 r
πr πr
3
h
+ = Volume of
3
a Sphere
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25. r
+ =
r
r
r
2 2
πr3 πr3
3
h
+ = Volume of
3
a Sphere
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26. r
+ =
r
r
r
2 2
πr3 πr3
3
h
+ = Volume of
3
a Sphere
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27. r
+ =
r
h
2 2
+ = Volume of
r
r
πr3 πr3
3
3
a Sphere
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28. r
+ =
r
h
( 2 2)
+ = Volume of
ππr3
r
r
3
3
a Sphere
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29. r
+ =
r
ππr3
( 2 2)
3 +
3
h
= Volume of
a Sphere
r
r
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30. r
+ =
r
ππr3
( 2 )
3 +
3
h
= Volume of
a Sphere
r
r
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31. r
+ =
r
( )
4 ππr3
3
h
= Volume of
a Sphere
r
r
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32. r
+ =
r
4 ππr3
3
h
= Volume of
a Sphere
r
r
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33. Volume of
a Sphere
4 ππr3
3
V =
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34. Volume of
a Sphere
V = 4 ππr3
or V =
4 3
π3
πr3 r3 3
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