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:
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
.
A. V = 1/3 * π * r^2 * h
B. 189 = 1/3 * 3.14 * 4^2 * h
189 = 1/3 * 3.14 * 16 * h
189 = 16.74 * h
C. h = 189 / 16.74
h ≈ 11.28
D. Height is approximately 11.3 feet.