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It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet are required for the same? - Mathematics

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Question

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet are required for the same?

`["Assume "pi=22/7]`

 

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Solution

Height (h) of cylindrical tank = 1 m

Base radius (r) of cylindrical tank = (140/2)cm = 70cm = 0.7m

`"Area of sheet required = Total surface area of tank "=2pir(r + h)`

                                 `= [2xx22/7xx0.7(0.7+1)]m^2`

                                 `= (4.4xx1.7)m^2`

                                 `= 7.48m^2`

Therefore, it will require 7.48 marea of sheet.

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Chapter 13: Surface Area and Volumes - Exercise 13.2 [Page 216]

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NCERT Mathematics [English] Class 9
Chapter 13 Surface Area and Volumes
Exercise 13.2 | Q 2 | Page 216
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