9) (a) Find the height of the cylinder whose volume is 1.54 metre cube and diameter of the base is 140 cm
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Answer:
1 m or 100 cm
Step-by-step explanation:
Volume of a cylinder = πr²h
1.54 = (πr²) h
1.54 = 22 /7 × (d/2) ² ×h
1.54 = 22/7 × (140 /2) ² ×h
1.54 = 22/7 × 0.7 × 0.7 × h. (since 1 m = 100cm, 70 cm = 0.7m)
1.54 = 22 × 0.1 × 0.7 × h
h = 1.54 / 22 × 0.1 × 0.7
h = 154 / 22 × 0.1 × 0.7 × 100
h = 14 / 2 ×0.1 ×0.7 × 100
h = 14 / 2 × 7
h = 14 /14
h = 1 m = 100cm
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