4. An iron block is in the form of a cylinder of diameter 0.5 m and length 3.5m This block is to be converted into a cylindrical roller with diameter 125cm. Find the length of the roller.
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1
Answer:
Volume of cylinder = Volume of cuboid bar
➡ πr²h = lbh
= \frac{22}{7} \times \frac{0.5}{2} \times \frac{0.5}{2} \times 3.5=
7
22
×
2
0.5
×
2
0.5
×3.5
= l \times 0.25 \times 0.25=l×0.25×0.25
= \frac{22 \times 0.5 \times 0.5 \times 3.5}{7 \times 2 \times 2 \times 0.25 \times 0.25}m = 11 \: m=
7×2×2×0.25×0.25
22×0.5×0.5×3.5
m=11m
Therefore, the length of the cuboid bar is 11 m.
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