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

Solution

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Let height of the cylinder be h m.
∴ Volume = $πr squared straight h$
= $22 over 7 cross times left parenthesis 70 right parenthesis squared cross times straight h$
= $22 over 7 cross times 70 cross times 70 cross times straight h$
Since, volume of the cylinder is 1.54 m³.
∴ 22 x 10 x 70 x h = 1.54 x 1000000 = 1540000
or $straight h equals fraction numerator 1540000 over denominator 22 cross times 10 cross times 70 end fraction equals 100 space cm space or space 1 space straight m$