What is the volume, in cubic feet, of a cylinder with a height of 16 feet and a base radius of 3 feet, to the nearest tenths place?
Question
What is the volume, in cubic feet, of a cylinder with a height of 16 feet and a base radius of 3 feet, to the nearest tenths place?
Solution
The volume V of a cylinder can be found using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.
Step 1: Substitute the given values into the formula. In this case, r = 3 feet and h = 16 feet. So, V = π(3)²(16).
Step 2: Simplify the equation. (3)² = 9, so V = π(9)(16).
Step 3: Multiply the numbers together. 9 * 16 = 144, so V = 144π.
Step 4: To get the volume in cubic feet, we need to multiply the result by the value of π (approximately 3.14159). So, V = 144 * 3.14159 = 452.38934 cubic feet.
Step 5: Round to the nearest tenth. The volume of the cylinder is approximately 452.4 cubic feet.
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