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A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

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NCERT Solutions for Class 10 Maths Chapter 13
Important NCERT Questions
Surface areas and Volumes,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 13.3
Page No:251
Questions No:3

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2 Answers

  1. Radius of well (r) = 7/2m, Height of well = 20 m
    Lenght of platfrom = 22 m, Width of platform = 14 m
    Let the height of the platform = H
    According to Question, volume of the earth dug out = Volume of earth of platform
    πr²h = 22 × 14 × H
    ⇒ 22/7 × (7/2)² × 20 = 22 × 14 × H
    ⇒ 11 × 7 × 10 = 22 × 14 × H
    ⇒ (11 × 7 × 10/22 × 14) = H ⇒ H = 2.5 m
    Hence, the height of the platform is 2.5 m.

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  2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-13/

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