To find the total amount of soil that the cone-shaped planter will hold, you can use the formula for the volume of a cone, which is V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone.
Given:
Radius (r) = 6.8 inches
Height (h) = 12.2 inches
Substitute the values into the formula:
V = (1/3) * π * (6.8)^2 * 12.2
Calculate:
V ≈ (1/3) * 3.14159 * 46.24 * 12.2
V ≈ 181.0191 cubic inches
Therefore, the total amount of soil that the planter will hold is approximately 181.0 cubic inches.
Since none of the provided answer choices match exactly with 181.0 cubic inches, we need to round this value to the nearest tenth, which is 181.0 in.^3.
Therefore, the correct answer to the question would be:
J. 181.0 in.3
