Question

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)

C. Use the reciprocal to get about
a. 504 = pi h
b. 35.4 = pi h
c. 1008 = pi h
d. 23.6 = pi h

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height of the cone, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Plugging in the given values:

189 = (1/3) * 3.14 * 4^2 * h
189 = (1/3) * 3.14 * 16 * h
189 = 16.7467h
h = 189 / 16.7467
h ≈ 11.27 feet

Therefore, the height of the cone is approximately 11.27 feet.