Upload
kyle-pearce
View
3.744
Download
0
Embed Size (px)
Citation preview
Discovering the Formula for Volume of a Sphere
@MathletePearce tapintoteenminds.com
@MathletePearce tapintoteenminds.com
Recall Volume of a Cylinder
r2π
V = x Heightπr2
@MathletePearce tapintoteenminds.com
Recall Volume of a Cylinder
r2π
hV = πr2 h
Recall Volume of a Cylinder
@MathletePearce tapintoteenminds.com
r2π
hV = πr2h
3
@MathletePearce tapintoteenminds.com
r2π
hV = πr2h
3
Recall Volume of a Cone
@MathletePearce tapintoteenminds.com
r2π
Recall Volume of a Cone
+ =h
@MathletePearce tapintoteenminds.com
r2π
Recall Volume of a Cone
+ =h
@MathletePearce tapintoteenminds.com
r2π
Recall Volume of a Cone
+ = h
@MathletePearce tapintoteenminds.com
r2π
Recall Volume of a Cone
+ =r
@MathletePearce tapintoteenminds.com
r2π
Recall Volume of a Cone
+ =r
@MathletePearce tapintoteenminds.com
r2π
Recall Volume of a Cone
+ = r
@MathletePearce tapintoteenminds.com
r2ππr2h
3
Recall Volume of a Cone
+ =πr2h
3+ = Volume of
a Sphere
@MathletePearce tapintoteenminds.com
r2ππr2h
3
Recall Volume of a Cone
+ = hr
πr2h3
+ = Volume of a Sphere
r
@MathletePearce tapintoteenminds.com
r2ππr2h
3
Recall Volume of a Cone
+ = hr
πr2h3
+ = Volume of a Sphere
r
@MathletePearce tapintoteenminds.com
r2ππr2h
3
Recall Volume of a Cone
+ = hr
πr2h3
+ = Volume of a Sphere
r
@MathletePearce tapintoteenminds.com
r2ππr2h
3
+ = hr
πr2h3
+ = Volume of a Sphere
r
r
r
@MathletePearce tapintoteenminds.com
r2ππr2h
3
+ = hr
πr2h3
+ = Volume of a Sphere
r
r
r
@MathletePearce tapintoteenminds.com
r2ππr h
3
+ =πr h
3+ = Volume of
a Sphere
r
r
r
rh
r
r
r
r
@MathletePearce tapintoteenminds.com
r2ππr h
3
+ =πr h
3+ = Volume of
a Sphere
r
r
r
rh
r r r r( )+ ( )+
@MathletePearce tapintoteenminds.com
r2ππr
3
+ =πr
3+ = Volume of
a Sphere
r
r
r
rh
r r r r( )+ ( )+
@MathletePearce tapintoteenminds.com
r2ππr
3
+ =πr
3+ = Volume of
a Sphere
r
r
r
rh
rr rr( )+ ( )+
@MathletePearce tapintoteenminds.com
r2ππr
3
+ =πr
3+ = Volume of
a Sphere
r
r
r
rh
( )2r ( )2rr r
rπrπ
@MathletePearce tapintoteenminds.com
r2ππr3
+ =πr3
+ = Volume of a Sphere
r
r
r
rh
2 2r r
rπrπ
@MathletePearce tapintoteenminds.com
r2π3
+ =
3+ = Volume of
a Sphere
r
r
r
rh
2 2r r
r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3+ = Volume of
a Sphere
r
r
r
rh
2 2
r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3+ = Volume of
a Sphere
r
r
r
rh
2 2
r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3+ = Volume of
a Sphere
r
r
r
rh
2 2
r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3+ = Volume of
a Sphere
r
r
r
rh
2 2( )
r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3+ = Volume of
a Sphere
r
r
r
rh
2 2( )
r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3+ = Volume of
a Sphere
r
r
r
rh
22( )
4 r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3= Volume of
a Sphere
r
r
r
rh
( )
4 r3πr3π
@MathletePearce tapintoteenminds.com
r2π3
+ =
3= Volume of
a Sphere
r
r
r
rh
4 r3πr3π
@MathletePearce tapintoteenminds.com
r2π33=V
Volume of a Sphere
4 r3πr3π
@MathletePearce tapintoteenminds.com
r2π33=V or 4 r3πr3π
33
Volume of a Sphere
=V