1. 9.4 – Perimeter, Area, and Circumference
Circumference and Area of a Circle r d
The circumference C of a circle of diameter d is given by the formula: or
where r is a radius.
The area A of a circle with radius r is given by the formula:

2. 9.4 – Perimeter, Area, and Circumference
Find the area and circumference of a circle with a radius that is 6 inches long (use 3.14 as an approximation for ).
Circumference (  3.14)
Circumference ()
C = 2  r
C = 2  r
C = 2 (3.14) 6
C = 2  6
C = in
C = in
Area (  3.14)
Area ()
A =  r2
A =  r2
A = (3.14) 62
A =  62
A = in2
A = in2

3. Volume of Surface Area of a Right Circular Cylinder
9.5 – Space Figures, Volume, and Surface Area
Volume and Surface Area
Volume of Surface Area of a Right Circular Cylinder
The volume V and surface area S of a right circular cylinder with base radius r and height h are given by the formulas:
V = r2h h r
and
S = 2rh + 2r2
Find the volume and surface area of the cylinder below.
V = (2)2(10)
S = 2(2)(10) + 2(2)2
10 m
2 m
V = 40
S = 40 + 8
= 48
V = 125.6 m3
S = m2

4. Volume of Surface Area of a Sphere
9.5 – Space Figures, Volume, and Surface Area
Volume and Surface Area
Volume of Surface Area of a Sphere
The volume V and surface area S of a sphere radius r are given by the formulas: r
V = (4/3) r3
and
S = 4 r2
Find the volume and surface area of the sphere below.
V = (4/3)(9)3
S = 4 (9)2
9 in.
V = 972
S = 324
V =
in.3
S =
in.2

5. Volume of Surface Area of a Right Circular Cone
9.5 – Space Figures, Volume, and Surface Area
Volume and Surface Area
Volume of Surface Area of a Right Circular Cone
The volume V and surface area S of a right circular cone with base radius r and height h are given by the formulas:

6. 9.5 – Space Figures, Volume, and Surface Area
Find the volume and surface area of the cone below.
h = 4 m
r = 3 m
V = (1/3)(3)2(4)
V = 12
V = 37.68 m3
S = 15 + 9
S = 24
S = 75.36 m2