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. use the given options for each blank to fill them in

Question

A. use this formula: ____ (options: V = 4/3 pi r^3, A = pi r^2, V = 1/3 pi r^2 h, V = pi r^2 h)
B. substitute in for the radius and simplify to get: ____ (options: 189 = 8/3 pi h, 189 = 16 pi h, 189 = 16/3 pi h, 189 = 64/3 pi h)
C. use the reciprocal to get about: ____ (options: 504 = pi h, 1008 = pi h, 23.6 = pi h, 35.4 = pi h)
D. Use the inverse operation of ____ to get h by itself (options: Division, Subtraction, Addition, Multiplication)
E. Height is approximately: ____ (options: 11.3 ft, 8.2 ft, 2.5 ft, 22.6 ft)

Answer 1

A. use this formula: V = 1/3 pi r^2 h
B. substitute in for the radius and simplify to get: 189 = 1/3 * 3.14 * 4^2 * h
C. use the reciprocal to get about: 1008 = pi h
D. Use the inverse operation of Division to get h by itself
E. Height is approximately: 8.2 ft

Answer 2

the option you chose for B isn't available, remember to choose either: 189 = 8/3 pi h, 189 = 16 pi h, 189 = 16/3 pi h, 189 = 64/3 pi h

Answer 3

Sorry about that, let's correct it:

A. use this formula: V = 1/3 pi r^2 h
B. substitute in for the radius and simplify to get: 189 = 1/3 * 3.14 * 4^2 * h
C. use the reciprocal to get about: 189 = 16/3 pi h
D. Use the inverse operation of Division to get h by itself
E. Height is approximately: 8.2 ft