The volume of a tree stump can be modeled by considering it as a right cylinder. Lillian measures its height as 1.1 ft and its radius as 22 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
Question
The volume of a tree stump can be modeled by considering it as a right cylinder. Lillian measures its height as 1.1 ft and its radius as 22 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
Solution
To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius, h is the height, and π is a constant approximately equal to 3.14159.
First, we need to convert the height from feet to inches because the radius is given in inches. There are 12 inches in a foot, so 1.1 ft is 1.1 * 12 = 13.2 inches.
Next, we substitute the given values into the formula:
V = π * (22 in)² * 13.2 in V = 3.14159 * 484 in² * 13.2 in V = 20096.8 cubic inches.
So, the volume of the tree stump is approximately 20096.8 cubic inches.
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