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A) A cylinder has a height of 18 centimeters and a radius of 9 centimeters. What is its volume? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. cubic centimeters Submit

Ask by Summers Hilton. in the United States
Feb 25,2025

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Answer

The volume of the cylinder is approximately 4578.12 cubic centimeters.

Solution

To find the volume of a cylinder, we can use the formula: \[ V = \pi r^2 h \] where: - \( V \) is the volume of the cylinder, - \( r \) is the radius of the cylinder, - \( h \) is the height of the cylinder. Given: - Height (\( h \)) = 18 centimeters - Radius (\( r \)) = 9 centimeters - \( \pi \approx 3.14 \) Substitute the given values into the formula: \[ V = 3.14 \times 9^2 \times 18 \] Now, we can calculate the volume of the cylinder. Calculate the value by following steps: - step0: Calculate: \(3.14\times 9^{2}\times 18\) - step1: Multiply the terms: \(56.52\times 9^{2}\) - step2: Rewrite the expression: \(56.52\times 81\) - step3: Multiply the numbers: \(4578.12\) The volume of the cylinder is approximately 4578.12 cubic centimeters when rounded to the nearest hundredth.

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Beyond the Answer

To find the volume of a cylinder, you can use the formula: \[ V = \pi r^2 h \] Plugging in the values, we have \( r = 9 \) cm and \( h = 18 \) cm. So, \[ V = 3.14 \times (9)^2 \times 18 = 3.14 \times 81 \times 18 = 3.14 \times 1458 \approx 4577.32 \, \text{cubic centimeters}. \] So the volume of the cylinder is approximately 4577.32 cubic centimeters. Keep in mind to always check your calculations to ensure precision, especially when it comes to rounding! A simple slip in the order of operations can lead to frustratingly off results.

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