A path 2 m wide surrounds a circular pond of diameter 40 m. How many cubic metres of gravel are required to grave the path to a depth of 20 cm?
Diameter of circular pond is given as 40 cm
∴ Radius of the pond, r = 20cm
Also, thickness, t = R – r
⇒ 2 = R – r
⇒ 2 = R – 20
⇒ R = 22cm
Volume of a hollow cylinder = π (R2 – r2)h
= 3.14 × (222 – 202) × 0.2
≈ 52 .8
∴ 52.8 cubic metres of gravel are required to grave the path to a depth of 20 cm