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Determine the diameter of the cylindrical concrete pillar (Question 3.1).

Mathematics

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Answer

B

Step-by-step solution

3 steps
  1. Determine the diameter of the cylindrical concrete pillar (Question 3.1).

    The dimensions for the cylindrical pillar are given:
    Radius =22= 22 cm.
    The formula for diameter (DD) is D=2×radiusD = 2 \times \text{radius}.

    D=2×22 cmD = 2 \times 22 \text{ cm} D=44 cmD = 44 \text{ cm}

    Comparing this to the options, option B is 44 cm. Note that there are two options labeled A, one of which is 44 mm. Since the radius is in cm, the diameter will also be in cm.

    The correct option is B.

  2. Calculate the area of the top circle of the cylindrical concrete pillar (Question 3.2).

    The formula for the area of a circle is given as Area =π×(radius)2= \pi \times (\text{radius})^2, where π=3.142\pi = 3.142.
    From the cylindrical dimensions, the radius is 22 cm.

    Area=3.142×(22 cm)2\text{Area} = 3.142 \times (22 \text{ cm})^2 Area=3.142×484 cm2\text{Area} = 3.142 \times 484 \text{ cm}^2 Area=1520.728 cm2\text{Area} = 1520.728 \text{ cm}^2

    Comparing this to the options:
    A. 1 520.728 cm21\,520.728 \text{ cm}^2
    B. 6 082.912 cm26\,082.912 \text{ cm}^2
    C. 6 082.912 mm26\,082.912 \text{ mm}^2

    The correct option is A.

  3. Determine the perimeter of the base (bottom) of the rectangular concrete pillar (Question 3.3).

    The dimensions for the rectangular pillar are given:
    Length =40= 40 cm
    Breadth =40= 40 cm
    Since the length and breadth are equal, the base is a square.
    The formula for the perimeter of a square is P=4×SP = 4 \times S, where SS is the side length.
    Alternatively, the formula for the perimeter of a rectangle is P=2(length+breadth)P = 2(\text{length} + \text{breadth}).
    Using the rectangle formula:

    P=2×(40 cm+40 cm)P = 2 \times (40 \text{ cm} + 40 \text{ cm}) P=2×(80 cm)P = 2 \times (80 \text{ cm}) P=160 cmP = 160 \text{ cm}

    Using the square formula:

    P=4×40 cmP = 4 \times 40 \text{ cm} P=160 cmP = 160 \text{ cm}

    The only option provided is A. 60 cm, which is incorrect based on our calculation. There might be an error in the provided options or the question expects a different interpretation. However, based on the given dimensions and formulas, the perimeter is 160 cm. Since I must select from the given options, and 160 cm is not an option, I will state that the calculated answer is not among the options.

    Final Answers:
    3.1. The correct option is B.
    3.2. The correct option is A.
    3.3. The calculated perimeter is 160 cm. This value is not among the given options.

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