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A Cylindrical water tank has a height of 2m and radius of 1.4m calculate its volume

Mathematics

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Answer

12.936 m3\text{12.936 m}^3

Step-by-step solution

4 steps

Ili kukokotoa ujazo wa tanki la maji lenye umbo la silinda, tutatumia fomula ya ujazo wa silinda.

Kutoka kwenye swali, tunapewa:

  • Urefu (hh) = 2.1 m2.1 \text{ m}
  • Rediasi (rr) = 1.4 m1.4 \text{ m}
  1. Andika fomula ya ujazo wa silinda.

    Fomula ya ujazo (VV) wa silinda ni:

    V=πr2hV = \pi r^2 h

    Tutatumia π=227\pi = \frac{22}{7} kwa hesabu hii.

  2. Badilisha thamani za rr, hh, na π\pi kwenye fomula.

    V=227×(1.4 m)2×2.1 mV = \frac{22}{7} \times (1.4 \text{ m})^2 \times 2.1 \text{ m}
  3. Kokotoa r2r^2.

    (1.4 m)2=1.4×1.4 m2=1.96 m2(1.4 \text{ m})^2 = 1.4 \times 1.4 \text{ m}^2 = 1.96 \text{ m}^2
  4. Fanya hesabu.

    V=227×1.96 m2×2.1 mV = \frac{22}{7} \times 1.96 \text{ m}^2 \times 2.1 \text{ m}

    Rahisisha kwa kugawanya 1.96 na 7:

    1.96÷7=0.281.96 \div 7 = 0.28

    Sasa endelea na hesabu:

    V=22×0.28 m2×2.1 mV = 22 \times 0.28 \text{ m}^2 \times 2.1 \text{ m} V=6.16 m2×2.1 mV = 6.16 \text{ m}^2 \times 2.1 \text{ m} V=12.936 m3V = 12.936 \text{ m}^3

    Ujazo wa tanki la maji ni:

    12.936 m3\text{12.936 m}^3
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