What is the volume, in cubic inches, of a cylinder with a height of 7 inches and a base radius of 2 inches, to the nearest tenths place?
Question
What is the volume, in cubic inches, of a cylinder with a height of 7 inches and a base radius of 2 inches, 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 π. So, 4 * π = 12.56636.
Step 3: Multiply the result by the height of the cylinder. The height is 7 inches, so 12.56636 * 7 = 88.96447 cubic inches.
Rounding to the nearest tenth, the volume of the cylinder is approximately 88.96 cubic inches.
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