A cone with a radius of 6 meters has a volume of 542.87m^3. Find the slant height of the cone.

Step-by-step explanation:

V = π r² h / 3

where volume V = 542.87 m³

              radius r = 6 m

find height h

solution:

V = π r² h / 3

542.87 = π (6)² h

                    3

π (6)² h = 542.87 (3)

h = 542.87 (3)

         π (6)²

h =  1628.6 / 113.1

h = 14.4 m

now solve for slant height of a cone using Pythagorean

slant height² = h² + r²

                     = √(14.4)² + (6)²

                     = √243.4

                     = 15.6 m

therefore, slant height of a cone = 15.6 m

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i hope this answer !

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