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

Answer 1

2.8 option (c)

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
`cm^(2)`

so, π r l= 103π

`(22)/(7)`×37×l=103π

l=
`(103)/(37)`

l=2.7837.....

l= 2.8 ( to nearest tenth)

Hence , the correct answer is option(c)