Question

the diameter of a garden roller is 1 .4m and it is 2 m long. How much area will it cover in 50 revolutions?
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Answer 1

Answer:

hy

Step-by-step explanation:

Area covered = Curved surface × Number of revolutions

r=   1.4 /2 =0.7 m

h=2 m

Curved surface = 2πrh

2×  22/7 ×0.7×2

area covered = 8.8×5

=44 m2

Answer 2

Answer:

Area covered by the garden roller = 440m²

Step-by-step explanation:

Given :

Diameter of the garden roller = 1.4 m

Long = 2m

No. of revolution = 50

To find :

The area covered in a 50 revolution

Taken :

To find the area covered by the garden roller use this formula -:

$\boxed{\sf{A=C.S.A.\times N}}$

Where,

A = Area covered by the garden roller

C.S.A. = Curved surface area

N = Number of revolution by the garden roller

So , we have to first find the curved surface area use this formula -:

$\boxed{\sf{C.S.A.=2\pi rh}}$

Where,

r = Radius

Radius => Diameter/2 = 1.4m/2 = 0.7m

h = Height = 2m

Solution :

Curved surface area -:

$:\Rightarrow\sf{C.S.A.=2\times\dfrac{22}{\cancel{7}}\times\cancel{0.7m}\times2m}$

$:\Rightarrow\sf{C.S.A.=\cancel{2}\times\dfrac{22}{\cancel{10}}\times2m}$

$:\Rightarrow\sf{C.S.A.=\dfrac{22}{\cancel{5}}\times\cancel{2m}}$

$:\Rightarrow\sf{C.S.A.=\cancel{\dfrac{22}{2.5}}}$

$:\Rightarrow\sf{C.S.A.={8.8m}^{2}}$

Area covered by garden roller -:

$:\Rightarrow\sf{A={8.8.m}^{2}\times50}$

$:\Rightarrow\sf{A={440m}^{2}}$

So , the area covered by the garden roller is 440m² .