A cylinder has a mass of 33.0 g and has a diameter of 4.0 cm and measures 3.0 cm in height. Calculate the density of the cylinder?
Answers
Explanation:
density=33.0/(4.0*3.0)
density=33.0/12.0
density=
Answer:
Density is a comparison of the mass of an object and the volume of that object.
D
=
m
a
s
s
v
o
l
u
m
e
or
D
=
m
V
This equation can be rearranged algebraically to solve foray of the values.
D
=
m
V
or
D
V
=
m
or
V
=
m
D
Let us look at two sample problems.
A rectangular prism has a mass of 42.0 grams and has dimensions of 2 cm in width, 6 cm long and 0.5 cm in height. What is the density of this object?
Volume of a rectangular prism is
l
x
h
x
w
6.0
c
m
x
0.5
c
m
x
2.0
c
m
=
6.0
c
m
3
Now the density is
m
a
s
s
v
o
l
u
m
e
D
=
42
g
6.0
c
m
3
D
=
7.0
g
c
m
3
A rectangular prism has a mass of 42.0 grams and has dimensions of 2 cm in width, 6 cm long and 0.5 cm in height. What is the density of this object?
Volume of a rectangular prism is
l
x
h
x
w
6.0
c
m
x
0.5
c
m
x
2.0
c
m
=
6.0
c
m
3
Now the density is
m
a
s
s
v
o
l
u
m
e
D
=
42
g
6.0
c
m
3
D
=
7.0
g
c
m
3
A cylinder has a mass of 33.0 grams and has a diameter of 4 cm and measure 3.0 cm in height. What is the density of the cylinder?
Volume of a cylinder is
(
3.14
)
r
2
h
(
3.14
)
(
2
c
m
)
2
(
3.0
c
m
)
=
37.68
c
m
3
Now the density is
m
a
s
s
v
o
l
u
m
e
D
=
33.0
g
37.68
c
m
3
D
=
0.876
g
c
m
3
I hope this was helpful.
Explanation: