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 on the nearest tenth of a food. use 3.14 for π
what formula do u use
The formula for the volume of a cone is:
V = (1/3)πr^2h
Given that the radius of the cone is 4 feet and the volume is 189 ft^3, we can plug these values into the formula and solve for the height, h:
189 = (1/3)(3.14)(4^2)h
189 = (1/3)(3.14)(16)h
189 = 16.7472h
h = 189 / 16.7472
h ≈ 11.27 feet
Therefore, the height of the cone is approximately 11.3 feet.