Answer: 9.3cm
Step-by-step explanation:
Given: The lateral area of the cone =[tex]574 cm^2[/tex]
The radius of the cone = 19.6 cm
We know that the lateral surface area of the cone is given by ;-
[tex]LA=\pi r l[/tex], where r is the radius and l is the slant height of the cone.
[tex]\\\\\Rightarrow\ 574=\pi (19.6)l\\\\\Rightarrow\ l=\dfrac{574}{\pi\times19.6}\approx9.3\ cm[/tex]
Hence, the slant height of the cone = 9.3 cm
