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. (5 points)
Use the reciprocal to get about _____?
To find the height of the cone, we can use the formula for the volume of a cone:
V = (1/3)πr^2h
Given that the radius (r) is 4 feet and the volume (V) is 189 ft^3, we can plug in these values and solve for the height (h):
189 = (1/3) * 3.14 * 4^2 * h
189 = (1/3) * 3.14 * 16 * h
189 = 16.747 * h
h ≈ 11.3 feet
Therefore, the height of the cone is approximately 11.3 feet.