Question

the diameter of a roller is 84cm and its length is 120 cm. it taken 500 complete revolutions to move once over to level a playground find the area of the playground in m square

Answer 1

It's the Question of class 8th

Answer 2

Answer:

Step-by-step explanation:

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The area of the playground can be measured by multiplying the CSA of the roller with 500. Because when you open and flatten the roller you'll get a rectangle and there are 500 such rectangles to cover the entire playground!!

So, first find TSA:

TSA of roller (cylinder)=2πrh

r=$\frac{84}{2}$ cm

l=h=120cm

Substitute them,

We get,

TSA=2×$\frac{22}{7}$×$\frac{84}{2}$×120

=31680$cm^{2}$

Now multiply it with 500

31680×500

=15840000$cm^{2}$

To convert it into metres cover it by 100

We get the area of playground= 158400$m^{2}$

Hope it's helpful