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 _______

C. Use the reciprocal to get about ____________

D. Use the inverse operation of _____ to get h by itself.

E. Height is approximately ______.

b. 189 = 16 pi h
189 = 16/3 pi h
189 = 8/3 pi h
189 = 64/3 pi h

c. 504 = pi h
35.4 = pi h
1008 = pi h
23.6 = pi h

d. Addition
Division
Multiplication
Subtraction

e. 2.5 ft
22.6 ft
11.3 ft
8.2 ft

1 answer

B. Substitute in for the radius and simplify to get 189 = (1/3) * π * 4^2 * h

C. Use the reciprocal to get about 189 = (1/3) * π * 16 * h
h = 189 / ((1/3) * π * 16)
h = 189 / (16/3 * π)
h = 189 / (48π)
h ≈ 1.25

D. Use the inverse operation of multiplication to get h by itself.

E. Height is approximately 1.25 ft.