The volume of a tree stump can be modeled by considering it as a right cylinder. Ashley measures its height as 1.2 ft and its radius as 20 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
First, convert the radius from inches to feet:
20 inches = 20/12 feet = 5/3 feet
Now, calculate the volume of the cylinder using the formula:
V = πr^2h
V = π(5/3)^2(1.2)
V = π(25/9)(1.2)
V = π(30/9)
V = 10π
Since π is approximately 3.14:
V ≈ 10(3.14)
V ≈ 31.4 cubic feet
Therefore, the volume of the tree stump is approximately 31.4 cubic feet.