David, Elijah, and Liam are helping Joyce to fill her cone-shaped planter that is hanging on her porch. The planter has a radius of 6.8 inches and a height of 12.2 inches. They are curious to know, what is the total amount of soil the planter can hold?
To find the volume of a cone-shaped planter, you can use the formula:
V = (1/3) * π * r^2 * h
Where V is the volume, π is a constant approximately equal to 3.14159, r is the radius, and h is the height.
Plugging in the given values, we have:
V = (1/3) * 3.14159 * (6.8^2) * 12.2
Calculating this expression, we get:
V ≈ 635.18 cubic inches
Therefore, the cone-shaped planter can hold approximately 635.18 cubic inches of soil.