Information about 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.

Recall Volume of a Cylinder r2 π V = πr2 x Height @MathletePearce tapintoteenminds.com

Recall Volume of a Cylinder r2 π V = πr2 h @MathletePearce tapintoteenminds.com View slide

3 Recall Volume of a Cylinder r2 π V = πr2h h @MathletePearce tapintoteenminds.com View slide

Recall Volume of a Cone r2 π h V = πr2h 3 @MathletePearce tapintoteenminds.com

h + = @MathletePearce tapintoteenminds.com

+ h = @MathletePearce tapintoteenminds.com

+ = h @MathletePearce tapintoteenminds.com

+ = r @MathletePearce tapintoteenminds.com

+ = r @MathletePearce tapintoteenminds.com

+ = r @MathletePearce tapintoteenminds.com

πr2h 3 + = πr2h 3 + = Volume of a Sphere @MathletePearce tapintoteenminds.com

r πr2h 3 + = h r πr2h 3 + = Volume of a Sphere @MathletePearce tapintoteenminds.com

πr2h 3 + = rh πr2h 3 r + = Volume of a Sphere @MathletePearce tapintoteenminds.com

πr2h 3 + = h r r πr2h 3 + = Volume of a Sphere @MathletePearce tapintoteenminds.com

πr2h 3 + = h πr2h 3 r r + = Volume of a Sphere @MathletePearce tapintoteenminds.com

r r πr2h 3 r + = h r πr2h 3 + = Volume of a Sphere @MathletePearce tapintoteenminds.com

r r πr h 3 r + = r πr h 3 h + = Volume of a Sphere @MathletePearce tapintoteenminds.com

r r (r+r) (r+r) πr h 3 r + = r πr h h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

πr r r (r+r) (r+r) 3 r + = r πr h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

πr r r ( +r ) ( +r ) 3 r + = r πr h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

πr r r ( 2r ) ( 2r ) 3 r + = r πr h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

r + = r r r 2 r 2 r πr πr 3 h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

r + = r r r 2 r 2 r πr πr 3 h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

r + = r r r 2 2 πr3 πr3 3 h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

r + = r r r 2 2 πr3 πr3 3 h + = Volume of 3 a Sphere @MathletePearce tapintoteenminds.com

r + = r h 2 2 + = Volume of r r πr3 πr3 3 3 a Sphere @MathletePearce tapintoteenminds.com

r + = r h ( 2 2) + = Volume of ππr3 r r 3 3 a Sphere @MathletePearce tapintoteenminds.com

r + = r ππr3 ( 2 2) 3 + 3 h = Volume of a Sphere r r @MathletePearce tapintoteenminds.com

r + = r ππr3 ( 2 ) 3 + 3 h = Volume of a Sphere r r @MathletePearce tapintoteenminds.com

r + = r ( ) 4 ππr3 3 h = Volume of a Sphere r r @MathletePearce tapintoteenminds.com

r + = r 4 ππr3 3 h = Volume of a Sphere r r @MathletePearce tapintoteenminds.com

Volume of a Sphere 4 ππr3 3 V = @MathletePearce tapintoteenminds.com

Volume of a Sphere V = 4 ππr3 or V = 4 3 π3 πr3 r3 3 @MathletePearce tapintoteenminds.com

I do this because the volume formulas ... I spend two days with my students discovering volume. ... The last is the volume of a sphere which is 4/3rds ...

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Deriving The Formula - Volume Of Sphere. Skip navigation ... Demonstration Comparing the Formulas for the Volume of Cylinders and Cones.MOV ...

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He also realized that the volume of a sphere is exactly two thirds the volume ... If you know the volume. By rearranging the above formula you can find ...

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Use your observations to write a mathematical formula for the surface area of a sphere ... Volume . What is the ... DISCOVERING SURFACE AREA OF A SPHERE ...

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Discovering Archimedes' Formulas. ... we can blast through the calculations and find the circle/sphere formulas ... You've found the volume of a sphere ...

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How do you estimate volume of sphere without formula? ... how did ancient mathematicians estimate the volume before discovering the formula? Add ...

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What is the relationship between the volume of the sphere and ... between the volume of a cone and a ... formulas for the volume of a square ...

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Calculation of the Volume of a Sphere. ... and prove the formulas for the volume and the ... Archimedes imagined cutting a sphere into ...

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