Joyce has a cone shaped planter hanging on the back porch. If the planter has a radius of 6.8 inches and a height of 12.2 inches, what is the total amount of soil that the planter will hold to the nearest tenth?
590.8 in.3
196.8 in.3
1771.4 in.3
147.7 in.3
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging in the values for the radius (6.8 inches) and height (12.2 inches), we get:
V = (1/3)π(6.8)^2(12.2)
V = (1/3)π(46.24)(12.2)
V = (1/3)π(563.65)
V = 590.8 cubic inches
Therefore, the total amount of soil that the planter will hold is 590.8 cubic inches to the nearest tenth. The answer is 590.8 in.3.