A cone has a radius of 4 feet on its base. The approximate volume of the cone is ?. 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 ?.

Question

A cone has a radius of 4 feet on its base.  The approximate volume of the cone is ?.  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 ?.

GPT 3.5 · Answer

A. The formula for the volume of a cone is V = 1/3πr^2h, where r is the radius and h is the height.

B. Substituting in the given radius of 4 feet, we get V = 1/3 * 3.14 * 4^2 * h = 16.75h.

C. Simplifying further, we get V = 16.75h.

D. To find the height of the cone, we need to divide the volume by 16.75: h ≈ V/16.75.

D. Using the given volume of the cone, we can find the height: h ≈ 1/3 * 3.14 * 4^2 * 12 ≈ 80.8 feet.

Therefore, the height of the cone is approximately 80.8 feet.