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Calculate the volume of the following cylinder.

Mathematics

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Answer

15700 cm3\text{15700 cm}^3

Step-by-step solution

4 steps

Huu hapa ni utatuzi wa swali la kwanza:

1. Calculate the volume of the following cylinder

Kutoka kwenye mchoro, tunaona kuwa:
Kipenyo (diameter), d=20 cmd = 20 \text{ cm}
Urefu (height), h=50 cmh = 50 \text{ cm}

  1. Tafuta eneo la duara la msingi.

    Radi (radius), r=d2=20 cm2=10 cmr = \frac{d}{2} = \frac{20 \text{ cm}}{2} = 10 \text{ cm}.
    Eneo la duara la msingi, A=πr2A = \pi r^2.

  2. Tumia formula ya ujazo wa silinda.

    Ujazo wa silinda, V=A×h=πr2hV = A \times h = \pi r^2 h.
    Tutatumia π≈3.14\pi \approx 3.14 au 227\frac{22}{7}.

  3. Badilisha namba kwenye formula.

    V=π(10 cm)2(50 cm)V = \pi (10 \text{ cm})^2 (50 \text{ cm}) V=π(100 cm2)(50 cm)V = \pi (100 \text{ cm}^2) (50 \text{ cm}) V=5000π cm3V = 5000 \pi \text{ cm}^3
  4. Kokotoa thamani ya mwisho.

    V≈5000×3.14 cm3V \approx 5000 \times 3.14 \text{ cm}^3 V≈15700 cm3V \approx 15700 \text{ cm}^3

    Ujazo wa silinda ni:

    15700 cm3\text{15700 cm}^3
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