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The cylinder below has the radius of 4cm and a height of 9cm. Answer the questions based on it. 4.2.1 Determine the diameter the cylinder 4.2.2 If the formula to calculate the volume of a cylinder is V = pi x r x r, where pi = 3.142, determine the volume of a cylinder in m3

Mathematics

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4.1.4
This question is incomplete as it does not provide the actual travel time required to get from Jansenville to Port Shepstone. Without this information, it is impossible to verify Mrs. Wulu's claim.

4.2.1

  1. Identify the given radius.

    The radius of the cylinder is r=4r = 4 cm.

  2. Calculate the diameter.

    The diameter (dd) is twice the radius.

    d=2×rd = 2 \times r d=2×4 cmd = 2 \times 4 \text{ cm} d=8 cmd = 8 \text{ cm}

    The diameter of the cylinder is 8 cm\boxed{\text{8 cm}}.

    4.2.2

  3. Convert the radius and height from cm to m.

    Given radius r=4r = 4 cm. Since 1 m=100 cm1 \text{ m} = 100 \text{ cm},

    r=4100 m=0.04 mr = \frac{4}{100} \text{ m} = 0.04 \text{ m}

    Given height h=9h = 9 cm.

    h=9100 m=0.09 mh = \frac{9}{100} \text{ m} = 0.09 \text{ m}
  4. Substitute the values into the volume formula.

    The formula for the volume of a cylinder is V=π×r×r×hV = \pi \times r \times r \times h.
    Given π=3.142\pi = 3.142.

    V=3.142×(0.04 m)×(0.04 m)×(0.09 m)V = 3.142 \times (0.04 \text{ m}) \times (0.04 \text{ m}) \times (0.09 \text{ m})
  5. Calculate the volume.

    V=3.142×0.0016 m2×0.09 mV = 3.142 \times 0.0016 \text{ m}^2 \times 0.09 \text{ m} V=3.142×0.000144 m3V = 3.142 \times 0.000144 \text{ m}^3 V=0.000452448 m3V = 0.000452448 \text{ m}^3

    The volume of the cylinder is 0.000452448 m3\boxed{\text{0.000452448 m}^3}.

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