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Question -

A path 2 m wide surrounds a circular pond of diameter 40 m. How many cubic meters of gravel are required to grave the path to a depth of 20 cm?



Answer -

Given,

Diameter of thecircular pond = 40 m

So, the radius of thepond = 40/2 = 20 m = r

Thickness (width ofthe path) = 2 m

As the whole view ofthe pond looks like a hollow cylinder.

And the height will be20 cm = 0.2 m

So,

Thickness (t) = R – r

2 = R – 20

R = 22 m

Volume of the hollowcylinder = π (R2– r2) × h

= π (222–202) × 0.2

= 52.8 m3

Therefore, the volumeof the hollow cylinder is the required amount of sand needed to spread acrossto a depth of 20 m.

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