The slant height of the cone is = 15.6m. To calculate the slant height is further described below.
What is the slant height of a cone?
The radius of the cone is = 6m
The volume of the cone = 542.87m³
The height of the cone can be determined using the formula below;
V=πr²h/3
542.87 = 22/7×6²×h/3
542.87= 3.14×36×h/3
542.87= 113.04× h/3
Make h the subject of formula,
h = 542.87×3/113.04
h = 1628.61/113.04
h= 14.4m
Therefore the slant height ,
l=√r²+h²
l = √6²+14.4²
l= √36+207.36
l=√243.36
l= 15.6m
Therefore, the slant height of the cone is = 15.6m.
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