A solid related to a prism is a cylinder.
The formula for the volume of a cylinder is:
V = Bh
where B is the area of one of the circular bases,
and h is the height of the cylinder.
A net for a cylinder.
r
A net for a cylinder.
r
A net for a cylinder.
h
A net for a cylinder.
r
2πr
h
2 cm
2 cm
9 cm
2 cm
9 cm
Area of each circle = πr2 =
2 cm
9 cm
Area of each circle = πr2 = 3.14 • 4 cm2
2 cm
9 cm
Area of each circle = πr2 = 3.14 • 4 cm2
= 12.56 cm2 = B
2 cm
9 cm
V = Bh = 12.56 cm2 • 9 cm
2 cm
9 cm
V = Bh = 12.56 cm2 • 9 cm = 113.04
cm3
r
r = 2 cm
h = 9 cm
2πr
h
r
r = 2 cm
h = 9 cm
2πr
h
Lateral
surface area =
2πr • h =
2 • 3.14 • 2 • 9
r
r = 2 cm
h = 9 cm
2πr
h
Lateral
surface area =
2πr • h =
2 • 3.14 • 2 • 9
= 113.04 cm2
r
r = 2 cm
h = 9 cm
2πr
h
Total surface area =
Lateral
surface area =
2πr • h =
2 • 3.14 • 2 • 9
= 113.04 cm2
12.56 cm2 + 12.56 cm2 + 113.04 cm2 =
r
r = 2 cm
h = 9 cm
2πr
h
Lateral
surface area =
2πr • h =
2 • 3.14 • 2 • 9
= 113.04 cm2
Total surface area =
12.56 cm2 + 12.56 cm2 + 113.04 cm2 =
138.16 cm2
The formula:
V = Bh
can be used to find the volume of all prisms
and cylinders.
B stand for the area of a base, and h stands for
the height of the prism or cylinder.
The formula:
V = Bh
can be used to find the volume of all prisms
and cylinders.
B stand for the area of a base, and h stands for
the height of the prism or cylinder.
The lateral surface area of a cylinder
= 2πrh,
where h is the height of the cylinder and r is the
radius of one of the bases.
The total surface area of a cylinder is the sum of
the area of the bases added to the lateral surface
area, or: 2πr2 + 2πrh