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:
V = pi r^2 h
V = 4/3 pi r^3
V = 1/3 pi r^2 h
A = pi r^2

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

C. Use the reciprocal to get about
504 = pi h
35.4 = pi h
1008 = pi h
23.6 = pi h

D. Use the inverse operation of ______ to get h by itself.
Multiplication
Division
Addition
Subtraction to get h by itself.

D. Height is approximately
8.2 ft
22.6 ft
11.3 ft
2.5 ft

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

B. Substitute in for the radius and simplify to get

189 = 1/3 * 3.14 * 4^2 * h
189 = 1/3 * 3.14 * 16 * h
189 = 16.75 * h
h = 189 / 16.75
h = 11.3 ft

D. Height is approximately 11.3 ft

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