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?

Question

590.8 in.3

196.8 in.3

1771.4 in.3

147.7 in.3

Answer 1

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.