Answer:
slant height of a cone = 15.6 m
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
