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# Discovering the Formula for Volume of a Sphere

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

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

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### Discovering the Formula for Volume of a Sphere

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