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: ???
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.
D. Height is approximately ???.
A. Use this formula: V = (1/3)πr^2h
B. Substitute in for the radius and simplify to get 189 = (1/3)π(4)^2h
189 = (1/3)π(16)h
189 = 16.75h
C. Use the reciprocal to get about h = 189 / 16.75
h ≈ 11.3
D. Use the inverse operation of multiplying by 16.75 to get h by itself.
h = 11.3
D. Height is approximately 11.3 feet.