Respuesta :
Answer:
10cm
Step-by-step explanation:
Given a cone of base radius r and slant height l, the Lateral Area (Curved Surface Area) of the cone is determined using the formula:
Lateral Area of a Cone =[tex]\pi rl[/tex]
Diameter of the Cone = 24cm
Radius = Diameter/2 =24/2 =12 cm
Therefore:
Lateral Area of a Cone =[tex]\pi rl[/tex]
[tex]120 \pi=12 \pi l\\l=10[/tex]
Therefore, the slant height of the cone is 10cm
Answer:
Slant height is equal to 15.62 cm
Step-by-step explanation:
Diameter= 24cm
Radius = 12cm
Area of cone is = πrl
120πcm² = πrl
rl = 120
12l = 120
l = 120/12
l =10
If the height is 10 and radius is 12..
Using right angle triangle method, let the slant height be x
X² = 10² + 12²
X² = 100 + 144
X² = 244
X = √244
X= 15.62
Slant height is equal to 15.62 cm
