Answer: 40 cm
Step-by-step explanation:
Given: The radius of the cone = 10 cm
The lateral area of the cone [tex]= 400 \pi[/tex] cm squared.
The lateral surface area of cone is given by :-
[tex]L.S.A.=\pi rl[/tex], where r is the radius and l is the slant height of the cone.
For r=10 and L.S.A. [tex]= 400 \pi[/tex] , we have
[tex]400\pi=\pi(10)l\\\\\Rightarrow\ l=\frac{400}{10}=40[/tex]
Hence, the slant height of the cone is 40 cm.
