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)%0D%0AA. Use this formula: %0D%0A%0D%0AB. Substitute in for the radius and simplify to get %0D%0A %0D%0A%0D%0AC. Use the reciprocal to get about %0D%0A %0D%0A%0D%0AD. Use the inverse operation of %0D%0A to get h by itself.%0D%0A%0D%0AD. Height is approximately %0D%0A.

Question

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)%0D%0AA.  Use this formula: %0D%0A%0D%0AB.  Substitute in for the radius and simplify to get  %0D%0A %0D%0A%0D%0AC.  Use the reciprocal to get about %0D%0A %0D%0A%0D%0AD.  Use the inverse operation of %0D%0A to get h by itself.%0D%0A%0D%0AD.  Height is approximately %0D%0A.

Bot GPT 3.5 · Answer

A. Use this formula: V = (1/3)πr^2h B. Substitute in for the radius and simplify to get V = (1/3)(3.14)(4^2)h V = (4/3)(3.14)(16)h V = (4.19)(16)h V = 67.04h C. Use the reciprocal to get about h = 189/67.04 h = 2.82 feet D. Use the inverse operation of multiplying by 67.04 to get h by itself. h = 2.82 feet Therefore, the height of the cone is approximately 2.8 feet.