Subject

    Quantitative Aptitude

    Topic

    Mensuration

    How many meters of cloth 5.2 metre wide will be required to make a conical tent, the radius of whose base is 10 m and height is 24 m?

    ক)
    60π m
    খ)
    50π m
    গ)
    55π m
    ঘ)
    57π m
    ঙ)
    None of these

    Explanation

    Given, Radius of the base of the cone (R) = 10 m Height of the Cone (H) = 24 m ∵ Slant height ( l ) = (R2  +  H2)\sqrt {\left( {{R^2}{\rm{\;}} + {\rm{\;}}{H^2}} \right)} ∴ Slant Height = 102+242=26  m\sqrt {{{10}^2} + {{24}^2}} = 26{\rm{\;}}m We know, Curved Surface Area of the cone = πR l ∴ Curved Surface Area = π x 10 x 26 = 260π m 2 Area of the cloth used = Curved Surface Area of the cone = 260π m 2 Given, width of the cloth = 5.2 m Length of the cloth used = Area of Cloth used/Width of Cloth ∴ Length of the cloth = 260π/5.2 = 50π

    Find Tutors

    View all Tutors