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) 590.5
C) 196.8
D) 1771.4
The formula to calculate the volume of a cone is V = 1/3 * π * r^2 * h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius, and h is the height.
Plugging in the given values, we have V = 1/3 * 3.14 * (6.8^2) * 12.2 = 196.7664 cubic inches.
To find the total amount of soil the planter can hold, we round the answer to the nearest whole number since we cannot have fractional amounts of soil for practical purposes.
Therefore, the total amount of soil the planter can hold is 197 cubic inches.
The correct answer is C) 196.8.