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)
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.
F. Height is approximately ______.

Answer 1

[AI-generated answer — Bot GPT 3.5]

A. Use this formula: V = (1/3)πr^2h

B. Substitute in for the radius and simplify to get V = (1/3)(3.14)(4^2)h = 189
V = (1/3)(3.14)(16)h = 189
V = 16.7472h = 189
C. Use the reciprocal to get about 1/16.7472 ≈ 0.0596
D. Use the inverse operation of multiplication to get h by itself. Divide both sides by 16.7472:
h ≈ 189 / 16.7472 ≈ 11.3 feet
F. Height is approximately 11.3 feet.