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:
V = 1/3 pi r^2 h
B. Substitute in for the radius and simplify to get
189 = 1/3 * 3.14 * 4^2 * h
189 = 1/3 * 3.14 * 16 * h
189 = 5.28 * h
h = 189 / 5.28
h ≈ 35.8
Therefore, the height of the cone is approximately 35.8 feet.
are you sure
Let's double-check our calculations:
189 = 1/3 * 3.14 * 16 * h
189 = 5.28 * h
h = 189 / 5.28
h ≈ 35.795
Therefore, when rounded to the nearest tenth of a foot, the height of the cone is approximately 35.8 feet.