What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to the nearest tenths place?
Question
What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to the nearest tenths place?
Solution
The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base, h is the height, and π is a constant approximately equal to 3.14159.
Step 1: Square the radius. In this case, the radius is 6 inches, so 6² = 36 square inches.
Step 2: Multiply the result by the height. The height is 20 inches, so 36 * 20 = 720 cubic inches.
Step 3: Multiply the result by π. So, 720 * π = 2261.94671 cubic inches.
Rounding to the nearest tenth, the volume of the cylinder is approximately 2261.9 cubic inches.
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