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A Path 2m Wide Surrounds a Circular Pond of Diameter 40m. How Many Cubic Meters of Gravel Are Required to Grave the Path to a Depth of 20cm ? - Mathematics

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Answer in Brief

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

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Solution

Diameter of circular pond = 40 m 

Radius of pond(r) = 20m.

Thickness = 2m

Depth = 20cm = 0 2m

Since it is viewed as a hollow cylinder

Thickness (t) = R - r

2 = R - r

2 = R - 20

R = 22m

∴Volume of hollow cylinder = π(R2 - r2)h

= π(222 - 202)h

= π(222 - 202) x 0.2

= π(84) x 0.2

∴ Volume of hollow cylinder = 52.πm3

∴ 52.77m3 of gravel is required to

have path to a depth of 20cm.

Concept: Volume of a Combination of Solids
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Exercise 14.1 | Q 28 | Page 29
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