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?
A) 145.2
B) 196.8
C) 1771.4
D) 590.5
The formula to find the volume of a cone is V = (1/3) * π * r^2 * h, where V is the volume, π is pi, r is the radius, and h is the height.
Plugging in the given values, we have V = (1/3) * π * (6.8^2) * 12.2.
Calculating this expression gives us V ≈ 590.5.
Therefore, the total amount of soil the planter can hold is approximately 590.5 cubic inches.
The correct answer is D) 590.5.