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Area, Surface Area, Volume, and Circumference (Area (Circle (A=(pi)r^2),…
Area, Surface Area, Volume, and Circumference
Area
Circle
A=(pi)r^2
rectangle
A=b*h
#
parallelogram
A=b*h
Triangle
A=b*h /2
circumference
circle
C=2(pi)r
Surface Area
Cylinder
right
S=2(pi)r*h + 2(pi)r^2
Cone
right
S=(pi)rl +(pi)r^2
Sphere
S=4(pi)r^2
Volume
Cylinder
V=(pi)r^2*h
Variations
Find r when given V and h
Example
108(pi)=(pi)r^2
12
pi cancels out
108=r^2
12
/12 = /12
9 = r^2
v/9 = r
3 = r
Find r when given d=xh
Example
d=2 2/5h
d=2.4h
2r=d=2.4h
r=1.2h
h=22.25
r=1.2*22.25
r=26.7
cone
V=1/3(pi)r^2*h
Pyramid
V=1/3B*h
Sphere
V=4/3(pi)r^3