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in Surface Areas And Volumes by (56.3k points)

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?

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Best answer

Given,

Diameter of the circular pond = 40 m

So, the radius of the pond = 20/2 = 10 m = r

Thickness (width of the path) = 2 m

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

And the height will be 20 cm = 0.2 m

So,

Thickness (t) = R – r

2 = R – 20

R = 22 m

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

= π (222– 202) × 0.2

= 52.8 m3

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

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