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Answer:
2.5
Step-by-step explanation:
the radius=2.5 cm to the nearest
1
2
centimeters
Explanation:
The lateral area of a cylinder is the curved area of a cylinder.
a cylinder has two circles so the one side of the curved
area
=
2
×
the circumference and the other side = 6cm
which is the height of the cylinder.
when the curved area is opened flat you get a rectangle.
So
2
π
r
=
15.702
×
6
=
94.2
Lateral area=
2
π
r
h
=
94.2
c
m
given
2
π
r
h
=
94.2
(
2
)
(
3.141592654
)
(
r
)
(
6
)
=
94.2
37.699
r
=
94.2
r
=
94.2
37.699
r
=
2.499
check:
Lateral area
=
2
×
π
×
r
×
h
=
2
×
3.141592654
×
2.499
×
6
=
94.2
cm