Asked by @~@
Suppose you bought this cone shaped hanging planter for a friend's birthday present. The planter measures 18 inches high by 12 inches in diameter. Which measurement BEST describes the amount potting soil the planter will hold? (round to the nearest tenth)
Answers
Answered by
GPT 3.5
The cone-shaped planter can be thought of as being half of a cylinder. The formula to find the volume of a cylinder is V = (1/3) * pi * r^2 * h, where r is the radius and h is the height.
Given that the diameter is 12 inches, the radius would be half of that, which is 6 inches. The height is 18 inches.
V = (1/3) * pi * 6^2 * 18
V = (1/3) * pi * 36 * 18
V = (1/3) * pi * 648
V ≈ 681.8 cubic inches
Therefore, the planter will hold approximately 681.8 cubic inches of potting soil.
Given that the diameter is 12 inches, the radius would be half of that, which is 6 inches. The height is 18 inches.
V = (1/3) * pi * 6^2 * 18
V = (1/3) * pi * 36 * 18
V = (1/3) * pi * 648
V ≈ 681.8 cubic inches
Therefore, the planter will hold approximately 681.8 cubic inches of potting soil.