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 V = (1/3)(3.14)(4)^2h = 189
V = (1/3)(3.14)(16)h = 189
V = 16.753h = 189
C. Use the reciprocal to get about h = 189 / 16.753 ≈ 11.3
D. Use the inverse operation of multiplication to get h by itself.
E. Height is approximately 11.3 feet.
C is wrong
Apologies for the mistake. Let's correct that:
C. Use the reciprocal to get about h ≈ 189 / (16.753) ≈ 11.3
Therefore, the correct answer for the height to the nearest tenth of a foot is approximately 11.3 feet.