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CBSE Class 10 Maths (Basic) 2022 · Paper 430/3/1 · Question 14

Surface Areas and Volumes 4 marks Hard
The technique of Rainwater harvesting through Recharge pit is very useful. Rainwater is collected on the roof and then flowing through the Recharge pit it goes to the ground. Observe the picture given above. The surface area of the roof floor is m. The cuboidal pit measures m m m. (Breadth m, Depth m, Length m.)
  1. aWater standing on the roof is released into the cuboidal pit. If the cuboidal pit is filled completely by the roof water, then find the height of standing water on the roof.[2]
  2. bInstead of a cuboidal pit, if a cylindrical pit with diameter m and height m had been built, then which tank would hold more water?[2]

Answer

(a) Height of standing water m ( cm). (b) The cuboidal pit ( m) holds more water than the cylindrical pit ( m).

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