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    The cost of decorating the curved surface area of a cone is Rs. 6,270. If its base diameter is 42 cm and slant height is 19 cm, then what is the per c
    Question

    The cost of decorating the curved surface area of a cone is Rs. 6,270. If its base diameter is 42 cm and slant height is 19 cm, then what is the per cm2​ cost (in Rs.) of decoration? (Use π\pi  = 22/7)

    A.

    9

    B.

    5

    C.

    7

    D.

    3

    Correct option is B

    Given:

    Cost of decoration = ₹6270

    Diameter = 42 cm 

    Radius (r) = 21 cm

    Slant height (l) = 19 cm

    Formula Used:

    Curved Surface Area of cone = π × r × l

    Cost per cm² = Total cost ÷ Curved Surface Area

    Solution:

    CSA =227\frac {22}7​× 21 × 19 = 22 × 3 × 19 = 1254 cm²

    Cost per cm² = 6270 ÷ 1254 = ₹5

    The cost per cm² of decoration is ₹5.

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