To find the height of the cone, we need to use the formula for the volume of a cone:
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 in the values and solve for the height:
189 = (1/3) * 3.14 * 4^2 * h
189 = (1/3) * 3.14 * 16 * h
189 = 16.747 * h
h = 189 / 16.747
h ≈ 11.3
Therefore, the height of the cone is approximately 11.3 feet.
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)
A. Use this formula:
a. V = pi r^2 h
b. V = 4/3 pi r^3
c. V = 1/3 pi r^2 h
d. A = pi r^2
1 answer
1 answer