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Identify the given radius.

Mathematics

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Answer

22 cm22 \text{ cm}

750 mL750 \text{ mL}

Step-by-step solution

7 steps
  1. Identify the given radius.

    The radius of the circle is given as r=3.5 cmr = 3.5 \text{ cm}.

  2. Write the formula for the circumference of a circle.

    The circumference CC of a circle is given by the formula:

    C=2πrC = 2\pi r

    We will use the approximation π=227\pi = \frac{22}{7}.

  3. Substitute the values and calculate the circumference.

    C=2×227×3.5 cmC = 2 \times \frac{22}{7} \times 3.5 \text{ cm} C=2×227×72 cmC = 2 \times \frac{22}{7} \times \frac{7}{2} \text{ cm} C=22 cmC = 22 \text{ cm}

    The circumference of the circle is 22 cm\boxed{22 \text{ cm}}.


    Question 17:

  4. Identify the dimensions of the cuboid.

    The length l=15 cml = 15 \text{ cm}, width w=10 cmw = 10 \text{ cm}, and height h=5 cmh = 5 \text{ cm}.

  5. Write the formula for the volume of a cuboid.

    The volume VV of a cuboid is given by the formula:

    V=l×w×hV = l \times w \times h
  6. Substitute the values and calculate the volume in cubic centimeters.

    V=15 cm×10 cm×5 cmV = 15 \text{ cm} \times 10 \text{ cm} \times 5 \text{ cm} V=150 cm2×5 cmV = 150 \text{ cm}^2 \times 5 \text{ cm} V=750 cm3V = 750 \text{ cm}^3
  7. Convert the volume to milliliters.

    Since 1 cm3=1 mL1 \text{ cm}^3 = 1 \text{ mL}, the capacity in milliliters is:

    V=750 mLV = 750 \text{ mL}

    The capacity of the cuboid is 750 mL\boxed{750 \text{ mL}}.

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