Answer:
50pi
sorry if I am incorrect. I am not an expert on cones.
Step-by-step explanation:
First, we need to find the height of the cone. To find the height of the cone, we could use the formula: [tex]Height=\sqrt{diagonal^2-radius^2}[/tex]
Substituting the values, we get that the height is [tex]5\sqrt{3}[/tex].
Next, we calculate the lateral height, or the slant height of the cone. The formula for this is: [tex]Slant height = \sqrt{radius^2+height^2}[/tex]
The slant height is 10, as you mentioned.
Finally, we calculate the lateral area of the cone. The lateral area formula is: [tex]\pi*radius*slant height[/tex]
The answer is 50pi cm^3, or approximately 157.08 cm^3
Sorry if I am incorrect. I am not an expert on cones.