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)

B. Substitute in for the radius and simplify to get
a. 189 = 16/3 pi h
b. 189 = 8/3 pi h
c. 189 = 16 pi h
d. 189 = 64/3 pi h

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is d. 189 = 64/3 π h

To find the height of the cone, we need to isolate h in the equation:

189 = (64/3)πh
h = 189 / ((64/3)π)
h = 189 / (64/3) * 1/π
h = 189 * 3 / 64
h ≈ 8.8 feet

Therefore, the height of the cone is approximately 8.8 feet.