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24 Part I: Technical Mathematics
Table 3.3 Calculation of volume of basic geometric shapes.
Shape Example Formula
Part I.C
Square prism
c
V = abc
a
b
Cube (all sides V = s 3
equal length)
s
Cylinder
r
V = p r 2 h
h
r
Cone V = 1 2
p r h
3
h
Sphere V = 4 p r
3
r
3
A cylinder has a radius of 120 mm and a height of 250 mm. Its volume is
p × (120 mm) 2 × (250 mm) = 11,309,734 mm 3 . Note: since the formula
involves pi, when at all possible use a calculator to find the volume of
a cylinder to avoid round-off errors.
A cone has a radius of 3.5 inches and a height of 12 inches. Its volume is
(1/3) × p × (3.5 in) 2 × 12 in = 153.938 in 3 . Note: since the formula involves
pi (p), when at all possible use a calculator to find the volume of a cone
to avoid round-off errors.