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)

Question

A. Use this formula:
V = 1/3 pi r^2 h

B. Substitute in for the radius and simplify to get
189 = 16/3 pi h


C. Use the reciprocal to get about
35.4 = pi h


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

D. Height is approximately
.

Answer 1

5.5 feet.

Answer 2

can you answer D

Answer 3

My apologies for the incomplete response.

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

h = 35.4 / π ≈ 11.3 feet

Therefore, the height of the cone is approximately 11.3 feet.