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    Circumference of the base of a right circular cylinder is 44cm and its height is 15cm. The volume (in cm3) of the cylinder is
    Question



    Circumference of the base of a right circular cylinder is 44cm and its height is 15cm. The volume (in cm3) of the cylinder is

    A.

    770

    B.

    1155

    C.

    1540

    D.

    2310

    Correct option is D

    First, find the radius of the cylinder.
    We know that the circumference (C) of a circle is given by the formula:
    C = 2πr
    where r is the radius.
    Given that the circumference is 44 cm and π = 22/7, we can substitute these values into the formula:
    44 = 2 x (22/7) x r
    Solving for r:
    r = (44 x 7) / (2 x 22) = 7 cm
    Now, find the volume of the cylinder.
    The volume (V) of a cylinder is given by the formula:
    V = πr²h
    where r is the radius and h is the height.
    Substituting the values we found:  
    V = (22/7) x 7² x 15
    V = (22/7) x 49 x 15
    V = 22 x 7 x 15 V = 2310 cm³
    Therefore, the volume of the cylinder is 2310 cm³.

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