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)

1 answer

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.