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    A cylinder has a diameter of 14 cm, and its curved surface area is 220 cm² The volume of the cylinder is:
    Question

    A cylinder has a diameter of 14 cm, and its curved surface area is 220 cm² The volume of the cylinder is:

    A.

    670 cm³

    B.

    770 cm³

    C.

    707 cm³

    D.

    620 cm³

    Correct option is B

    Given:
    Diameter of cylinder = 14 cm 
    Radius r = 7 cm
    Curved Surface Area (C.S.A.) = 220 cm²
    Volume = ?
    Formula Used:
    Curved Surface Area = 2πrh
    Volume = πr²h
    Solution:
    2πrh = 220
    2 × 227\frac {22}{7}​ × 7 × h = 220
    44h = 220
     => h = 5 cm
    Now, Volume = πr²h
    V=227×72×5V=227×49×5V=22×2457=22×35=770 cm3V = \dfrac{22}{7} \times 7^2 \times 5 \\[8pt]V = \dfrac{22}{7} \times 49 \times 5 \\[8pt]V = \dfrac{22 \times 245}{7} = 22 \times 35 = 770 \ \text{cm}^3​​


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