If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth. Slant Height = m

Question

If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.
Slant Height = m

in progress 0
Peyton 1 month 2021-10-16T17:43:44+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-16T17:45:23+00:00

    Answer:  The slant height of the cone is 65.6 m

    Step-by-step explanation:

    Given: The diameter of a cone = 10 m

    Surface area of cone = 190.6 m²

    To find: Slant height

    Diameter of cone = 10 m

    Therefore Radius of cone = \dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m

    As we know that surface area of a cone is given by

    S.A. = \pi r(l+r)

    Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

    Let Slant height = l

    So we have

    190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow  5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l=  \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6

    Hence the slant height of the cone is 65.6 m

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )