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 11.3ft
A. Use this formula: V = (1/3)πr^2h
B. Substitute in for the radius and simplify to get: 189 = (1/3)(3.14)(4)^2h
189 = (1/3)(3.14)(16)h
189 = 16.75h
C. Use the reciprocal to get about: h = 189 / 16.75
h ≈ 11.3 ft
D. Use the inverse operation of multiplication to get h by itself.
C is wrong, here are the options for c: 23.6 = pi h, 35.4 = pi h, 504 = pi h, 1008 = pi h
Apologies for the mistake. The correct answer for part C should be:
C. Use the reciprocal to get about: h ≈ 189 / (1/3)π(16)
h ≈ 189 / (1/3)(3.14)(16)
h ≈ 189 / (16.75)
h ≈ 11.3 ft
Therefore, the correct answer for part C is 35.4 = πh