Question

Find the slant height of a cone with surface area 63.30 ft2 and diameter 6.2 ft.

Answer 1

Slant height of cone is:

6.5 ft

Explanation:

Surface area of the cone =
`\pi rl`

where r is the radius and l is the slant height

Diameter = 6.2 ft

Radius =Diameter/2

=3.1 ft

⇒ r=3.1 ft

Surface area=63.30 ft²

63.30 =
`\pi (3.1)l`

`(63.30)/(\pi (3.1)) = l`

⇒ l = 6.5 ft

Hence, slant height of cone is:

6.5 ft

Answer 2

6.5 ft

Explanation:

Surface area of the cone =
`\pi rl`

diameter = 6.2 ∴radius = 3.1

63.30 =
`\pi (3.1)l`

`(63.30)/(\pi (3.1)) = l`

l = 6.4996 = 6.5 ft