Answer:
Slant height = 19 m.
Step-by-step explanation:
Given : A cone with height 16 m and base radius 11m .
To find : Find the slant height of the cone to the nearest whole number.
Solution : We have given A cone with height 16 m and base radius 11 m with 90 degree.
By using the Pythagorean theorem :
Slant height = [tex]\sqrt{Height^{2} + Radius^{2}}[/tex].
Slant height = [tex]\sqrt{Height^{2} + Radius^{2}}[/tex].
Slant height = [tex]\sqrt{(16)^{2} + (11)^{2}}[/tex].
Slant height = [tex]\sqrt{256 + 121}[/tex].
Slant height = [tex]\sqrt{372}[/tex].
Slant height = 19 .28 m
Nearest whole number 19 m
Therefore, Slant height = 19 m.
