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:
a. V = pi r^2 h
b. V = 4/3 pi r^3
c. V = 1/3 pi r^2 h
d. A = pi r^2
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
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
D. Use the inverse operation of ______ to get h by itself.
a. Multiplication
b. Division
c. Addition
d. Subtraction to get h by itself.
D. Height is approximately
a. 8.2 ft
b. 22.6 ft
c. 11.3 ft
d. 2.5 ft
B. Substitute in for the radius and simplify to get
c. 189 = 16 pi h
D. Use the inverse operation of Division to get h by itself.
So, h = 189 / (16π)
h ≈ 3.75 ft
Therefore, the height of the cone is approximately 3.75 ft.