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The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? - CBSE Class 9 - Mathematics

ConceptVolume of a Cylinder

Question

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

["Assume "pi=22/7]

Solution

Let the radius of the circular end be r.

Height (h) of cylindrical vessel = 1 m

Volume of cylindrical vessel = 15.4 litres = 0.0154 m3

pir^2h=0.0154m^3

(22/7xxr^2xx1)m = 0.0154m^3

⇒ r = 0.07 m

"Total surface area of vessel "=2pir(r+h)

= [2xx22/7xx0.07(0.07+1)]m^2

= 0.44 x 1.07 m2

= 0.4708 m2

Therefore, 0.4708 m2 of the metal sheet would be required to make the cylindrical vessel.

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APPEARS IN

NCERT Solution for Mathematics Class 9 (2018 to Current)
Chapter 13: Surface Area and Volumes
Ex. 13.60 | Q: 6 | Page no. 231

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Solution The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? Concept: Volume of a Cylinder.
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