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

1 answer

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.