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A Cylindrical container has a radius of 70cm and height of 20cm. How many litres of water can it hold when it is full?

Mathematics

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Answer

308 L\text{308 L}

Step-by-step solution

4 steps

Huu hapa ni ufumbuzi wa tatizo lako:

  1. Andika fomula ya ujazo wa silinda.

    Ujazo wa silinda (VV) hutolewa na fomula:

    V=πr2hV = \pi r^2 h

    ambapo rr ni rediasi na hh ni urefu.

  2. Badilisha thamani za rediasi na urefu kwenye fomula.

    Tunapewa r=70 cmr = 70 \ cm na h=20 cmh = 20 \ cm. Tutatumia π=227\pi = \frac{22}{7}.

    V=227×(70 cm)2×(20 cm)V = \frac{22}{7} \times (70 \ cm)^2 \times (20 \ cm)
  3. Hesabu ujazo katika sentimita za ujazo (cm3cm^3).

    V=227×(4900 cm2)×(20 cm)V = \frac{22}{7} \times (4900 \ cm^2) \times (20 \ cm) V=22×(700 cm2)×(20 cm)V = 22 \times (700 \ cm^2) \times (20 \ cm) V=22×14000 cm3V = 22 \times 14000 \ cm^3 V=308000 cm3V = 308000 \ cm^3
  4. Badilisha ujazo kutoka sentimita za ujazo kwenda lita.

    Tunajua kuwa 1 L=1000 cm31 \ L = 1000 \ cm^3.
    Ili kubadilisha cm3cm^3 kwenda lita, tunagawanya kwa 1000.

    Vlita=308000 cm31000 cm3/LV_{lita} = \frac{308000 \ cm^3}{1000 \ cm^3/L} Vlita=308 LV_{lita} = 308 \ L

    Chombo hicho kinaweza kushika lita 308 za maji kikiwa kimejaa.

    308 L\text{308 L}
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