Respuesta :

The formula for this is an easy, straightforward one:  [tex]A= \pi rl[/tex] where r is the radius and  l is the slant height.  You have your area and your radius, so solve it for slant height.  [tex]587= \pi 32l[/tex] and [tex]l= \frac{587}{32 \pi } [/tex].  Multiply that pi in to the 32 and then divide that into 587 and you'll get 5.8
Lateral Area of a cone = PI * radius * slant height587 PI = PI * 32 * slant heightslant height = 587 / 32slant height = 18.34375 Even though the slant height can be calculated as 18.3 cm, how can you have a cone with a slant height that is greater than the radius?