A cone has a radius of 4 feet on its base. The approximate volume of the cone is 189 ft^3. Determine the height of the cone to the nearest tenth of a foot. Use 3.14 for π. B. Substitute in for the radius and simplify to get
V = (1/3)πr^2h
V = 189 ft^3
r = 4 ft
π = 3.14
189 = (1/3)(3.14)(4^2)h
189 = (1/3)(3.14)(16)h
189 = (5.28)(h)
189 = 5.28h
h = 189 / 5.28
h ≈ 35.8 ft
Therefore, the height of the cone is approximately 35.8 feet.