A cone has a radius of 4 feet on its base.%C2%A0 The approximate volume of the cone is 189 ft^3.%C2%A0 Determine the height of the cone to the nearest tenth of a foot.%C2%A0 Use 3.14 for π.(5 points) A.%C2%A0 Use this formula:%C2%A0 B.%C2%A0 Substitute in for the radius and simplify to get%C2%A0%C2%A0 %C2%A0 C.%C2%A0 Use the reciprocal to get about%C2%A0 %C2%A0 D.%C2%A0 Use the inverse operation of%C2%A0 %C2%A0to get%C2%A0h%C2%A0by itself. D.%C2%A0 Height is approximately%C2%A0 .

Question

A cone has a radius of 4 feet on its base.%C2%A0 The approximate volume of the cone is 189 ft^3.%C2%A0 Determine the height of the cone to the nearest tenth of a foot.%C2%A0 Use 3.14 for π.(5 points) A.%C2%A0 Use this formula:%C2%A0  B.%C2%A0 Substitute in for the radius and simplify to get%C2%A0%C2%A0 %C2%A0  C.%C2%A0 Use the reciprocal to get about%C2%A0 %C2%A0  D.%C2%A0 Use the inverse operation of%C2%A0 %C2%A0to get%C2%A0h%C2%A0by itself.  D.%C2%A0 Height is approximately%C2%A0 .

Bot GPT 3.5 · Answer

A. Use this formula: V = (1/3)πr^2h B. Substitute in for the radius and simplify to get: 189 = (1/3)(3.14)(16)h C. Use the reciprocal to get about: h = 189 / ((1/3)(3.14)(16)) D. Use the inverse operation of 16 to get h by itself: h = 189 / ((1/3)(3.14)(16)) E. Height is approximately 7.5 feet.