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A cylinder has a helght of 16 meters and a radius of 5 meters. What is its volume? Use \( \pi \approx \) 3.14 and round your answer to the nearest hundredth. cubic meters Submit

Ask by Boone Elliott. in the United States
Feb 27,2025

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The volume of the cylinder is approximately 1,256.00 cubic meters.

Solución

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 (\( h \)) = 16 meters - Radius (\( r \)) = 5 meters - \( \pi \approx 3.14 \) Substitute the given values into the formula: \[ V = 3.14 \times 5^2 \times 16 \] Now, we can calculate the volume of the cylinder. Calculate the value by following steps: - step0: Calculate: \(3.14\times 5^{2}\times 16\) - step1: Multiply the terms: \(50.24\times 5^{2}\) - step2: Rewrite the expression: \(50.24\times 25\) - step3: Multiply the numbers: \(1256\) The volume of the cylinder is approximately 1256 cubic meters. Rounding to the nearest hundredth, the volume is 1256.00 cubic meters.

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To find the volume of a cylinder, you can use the formula: \[ \text{Volume} = \pi r^2 h \] Here, \( r \) is the radius, and \( h \) is the height of the cylinder. Plugging in your values: \[ \text{Volume} = 3.14 \times (5)^2 \times 16 = 3.14 \times 25 \times 16 \] Calculating that gives: \[ 3.14 \times 25 = 78.5 \] and then \[ 78.5 \times 16 = 1256 \] Thus, the volume of the cylinder is approximately **1256.00 cubic meters** when rounded to the nearest hundredth. You can always double-check your calculations and make sure to use a calculator for larger numbers to avoid any little errors that can sneak in, especially when working with a formula. It’s always a good practice to verify each step, especially in geometry where precision matters!

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