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the lateral area of a cylinder is 94.2 cm to 6 cm what is the radius​

Sagot :

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