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Determine the radius of the can.

Mathematics

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4 parts
9.1

250 cm3\text{250 cm}^3

9.2

250 ml\text{250 ml}

9.3

18 cm\text{18 cm}

9.4

18 cm\text{18 cm}

Step-by-step solution

9 steps

Part 9.1· 3 steps

Calculate the volume of one can of cold drink, rounded to the nearest whole number.

  1. Determine the radius of the can.

    The diameter of a can is 6 cm6 \text{ cm}.

    r=Diameter2=6 cm2=3 cmr = \frac{\text{Diameter}}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm}
  2. Use the formula for the volume of a cylinder.

    Given π=3.142\pi = 3.142 and height (hh) = 8.84 cm8.84 \text{ cm}.

    V=πr2hV = \pi r^2 h V=3.142×(3 cm)2×8.84 cmV = 3.142 \times (3 \text{ cm})^2 \times 8.84 \text{ cm} V=3.142×9 cm2×8.84 cmV = 3.142 \times 9 \text{ cm}^2 \times 8.84 \text{ cm} V=28.278 cm2×8.84 cmV = 28.278 \text{ cm}^2 \times 8.84 \text{ cm} V=249.90792 cm3V = 249.90792 \text{ cm}^3
  3. Round the volume to the nearest whole number.

    V≈250 cm3V \approx 250 \text{ cm}^3

    The volume of one can of cold drink is 250 cm3\boxed{\text{250 cm}^3}.

Part 9.2

250 ml\text{250 ml}

Write down the capacity of one can of cold drink in ml.

  1. Use the conversion factor 1 cm3=1 ml1 \text{ cm}^3 = 1 \text{ ml}.

    From 9.1, the volume of one can is 249.90792 cm3249.90792 \text{ cm}^3.

    Capacity=249.90792 ml\text{Capacity} = 249.90792 \text{ ml}
  2. Round the capacity to the nearest whole number.

    Capacity≈250 ml\text{Capacity} \approx 250 \text{ ml}

    The capacity of one can of cold drink is 250 ml\boxed{\text{250 ml}}.

Part 9.3

18 cm\text{18 cm}

Calculate the height of the cooler bag, rounded to the nearest whole number.

  1. Determine the height of the cooler bag.

    The problem states that "Two six-pack cans fit exactly on top of each other in the cooler bag."
    The height of one can is 8.84 cm8.84 \text{ cm}.

    Heightcooler bag=2×Heightcan\text{Height}_{\text{cooler bag}} = 2 \times \text{Height}_{\text{can}} Heightcooler bag=2×8.84 cm\text{Height}_{\text{cooler bag}} = 2 \times 8.84 \text{ cm} Heightcooler bag=17.68 cm\text{Height}_{\text{cooler bag}} = 17.68 \text{ cm}
  2. Round the height to the nearest whole number.

    Heightcooler bag≈18 cm\text{Height}_{\text{cooler bag}} \approx 18 \text{ cm}

    The height of the cooler bag is 18 cm\boxed{\text{18 cm}}.

Part 9.4

18 cm\text{18 cm}

Calculate the height of the cooler bag, rounded to the nearest whole number.

This question is identical to 9.3.

  1. Determine the height of the cooler bag.

    Heightcooler bag=2×8.84 cm\text{Height}_{\text{cooler bag}} = 2 \times 8.84 \text{ cm} Heightcooler bag=17.68 cm\text{Height}_{\text{cooler bag}} = 17.68 \text{ cm}
  2. Round the height to the nearest whole number.

    Heightcooler bag≈18 cm\text{Height}_{\text{cooler bag}} \approx 18 \text{ cm}

    The height of the cooler bag is 18 cm\boxed{\text{18 cm}}.

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