1. No category

G.GMD.3 STUDENT NOTES WS #6
1
SPHERE CALCULATION
The formula for the volume of a sphere is a much more difficult one to visualize.
The nice thing about this formula is that there is only one variable involved, the
radius. The radius represents all three dimensions.
Example #1
Example #2
4
VSPHERE = π r 3
3
4
3
VSPHERE = π ( 3)
3
VSPHERE = 36 π cm3
4
VSPHERE = π r 3
3
4
3
VSPHERE = π ( 5)
3
500
VSPHERE =
π cm3
3
4
VSPHERE = π r 3
3
Example #3
If surface area of the sphere is
36π cm2 (SA = 4πr2) what is the
volume?
36π = 4π r 2
9 =r
2
3=r
4
3
VSPHERE = π ( 3)
3
VSPHERE = 36 π cm3
2
14
To adapt this formula for a Hemisphere (half of a sphere we divide by 2, VHEMISPHERE =   π r 3 = π r 3 .
3
23
Example #4
Find Volume in the Can
(not including the 2 tennis balls).
4

Volume = π (9) 2 (26) − 2  π (6)3 
3

Volume = 2106π − 576π
Volume = 1530π cm3
G.GMD.3 WORKSHEET #6
NAME: ____________________________ Period _______
1. Determine the volume of the solid.
a)
b)
c)
Volume = ________________ (E)
Volume = ________________ (E)
Volume = _______________ (E)
d)
e) Two tennis balls fits exactly in
the 48 cm tall cylinderical can.
What is the volume of air in the
can?
Volume = ________________ (E)
Volume = _______________ (E)
f) Surface Area of a sphere = 4πr2. If the surface area of a sphere is 144π, then what is its volume?
g) Surface Area of a sphere = 4πr2. If the surface area of a sphere is 16π, then what is its volume?
1
NAME: W
G.GMD,SWORKSHEET #6
period
1. Determine the volume of the solid.
aaratr..t'rtxl'rri'rr""r'lrltr'rtlll
6cff
v
=$t (,,)'
= 46b
L&s1r
Volume =
N
(E)
Volume =
(E)
Votume
7Tr*'
= bbb% qr^'
(E)
d)
e)Two tennis balls fits exactly in
the 48 cm tall cylinderical can.
What is the volume of air in the
rrl.rtrr.rr..i.lrl.rr.lrhrratl
can?
-lJ-r)
7(!tn'I
t''f)
\02)o(,{r) - z()r
V=Bk*
,t1rrrrrrr.r..*.rirr..rrrrrtr,,,
6qe -r; *LlLotrY
a
(E)
Volume =
Votume
23o* Tr
=
cM.\
Lla(f Lu)
f) Surface Area of a sphere = 4nr2. lf the surface area of a sphere is L44n, then what is its volume?
g) Surface Area of a sphere = 4nr2. lf the surface area of a sphere is 16n, then what is its volume?
lLy _ |t(vo
1
='rv=L
v= !r(rt3 =
1sy