Gautam Rode
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The capacity of a closed cylindrical vessel of height 1 m is 15.4 liters. How many square meters of metal sheet would be needed to make it?

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NCERT Solutions for Class 9 Maths Chapter 13
Important NCERT Questions
Surface Areas and Volumes
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 13.6
Page No:230
Questions No:6

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  1. Get Hindi Medium and English Medium NCERT Solution for Class 9 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-13/

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  2. Capacity of cylindrical vessel V = 15.4 litres = 15.4/1000m³ = 0.0154 m³ and height h = 1 m
    Let, the radius of cylindrical vessel = r m
    Volume of cylindrical vessel V = πr²h
    ⇒ 0.0154 = 22/7 r²× 1
    ⇒ r² = 0.0154 × 7/22 = 0.0049
    ⇒ r = √0.0049 = 0.07 m
    Total surface area of cylindrical vessel = 2πr(r +h)
    = 2 × 22/7 × 0.07 × (0.07 + 1) = 2 × 22 × 0.01 × 1.07 = 0.4708 m²
    Hence, 0.4708 m² metal sheet is required to make this cylindrical vessel.

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