Mathematics

Question

The lateral area of a cone is 103647-10-04-00-00_files/i0200000.jpg cm2. The radius is 37 cm. Find the slant height to the nearest tenth.
a.
2.6 cm
b.
1.7 cm
c.
2.8 cm
d.
1.5 cm

1 Answer

  • Answer:

    2.8 option (c)

    Step-by-step explanation:

    Radius of cone= 37 cm

    let slant height of cone l

    As we know, curved surface area of cone=πrl

    Also, curved surface area of cone =103 π [tex]cm^{2}[/tex]

    so, π r l= 103π

    [tex]\frac{22}{7}[/tex]×37×l=103π

    l=  [tex]\frac{103}{37}[/tex]

    l=2.7837.....

    l= 2.8 ( to nearest tenth)

    Hence , the correct answer is option(c)

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