The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures its height as 0.7 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, we need to convert the height and radius to the same unit of measurement. Since the height is in feet and the radius is in inches, we can convert the height to inches by multiplying by 12 (since 1 ft = 12 in):
Height = 0.7 ft * 12 in/ft = 8.4 in
Now we can use the formula for the volume of a cylinder:
Volume = π * (radius)^2 * height
Plugging in the values:
Volume = π * (20 in)^2 * 8.4 in
Volume = π * 400 in^2 * 8.4 in
Volume = 3360π in^3
Now we can approximate the volume by using 3.14 as an approximation for π:
Volume ≈ 3360 * 3.14 ≈ 10560 in^3
Therefore, the volume of the tree stump is approximately 10560 cubic inches.