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Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm? - Mathematics

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Question

Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm?

Sum

Solution

We have, volume of the cylinder

= 1.54 m3

= 1.54 × 106 cm3

Diameter = 140 cm, Radius= 140 ÷ 2 = 70 cm

∵ volume of the cylinder = πr2h

= 1.54 × 106 = `22/7 xx (70)^2 xx h`

= `(1.54xx10^6xx7)/(22xx70xx70) xx h`

= 100 cm = h

∴ The height of the cylinder is 100 cm.

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Chapter 11: Mensuration - Exercise 11.4 [Page 191]

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NCERT Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise 11.4 | Q 5 | Page 191

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