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
C. Use the reciprocal to get about
D. Use the inverse operation of
to get h by itself.
D. Height is approximately
11.3 ft
.
A. V = 1/3 * 3.14 * (4 ft)^2 * h
V = 1/3 * 3.14 * 16 ft^2 * h
V = 16.75 ft^2 * h
B. 189 = 16.75h
h ≈ 189/16.75
h ≈ 11.3 ft
Therefore, the height of the cone is approximately 11.3 feet.