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 = 1/3 pi r^2 h

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


C. Use the reciprocal to get about ( please help what the reciprocal would be


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

D. Height is approximately
11.3 ft
.

1 answer

A. Use this formula: V = 1/3 π r^2 h

B. Substitute in for the radius and simplify to get 189 = 1/3 * 3.14 * 4^2 * h

C. Simplify to get 189 = 1/3 * 3.14 * 16 * h

D. Multiply and simplify to get 189 = 16.75 h

E. Divide by 16.75 to solve for h and get h ≈ 11.3 ft

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