What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the nearest tenths place?
Question
What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, 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 2 inches, so 2² = 4.
Step 2: Multiply the result by the height. The height is 8 inches, so 4 * 8 = 32.
Step 3: Multiply the result by π. So, 32 * π = 100.53096491487338.
Rounding to the nearest tenth, the volume of the cylinder is approximately 100.5 cubic inches.
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