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A cylinder has a radius of 10 feet and a height of 11.4 feet. What is the approximate volume of the cylinder? Use 3.14 for pi.

Ask by Delgado Page. in the United States
Feb 26,2025

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The volume of the cylinder is approximately 3579.6 cubic feet.

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: - Radius (\( r \)) = 10 feet - Height (\( h \)) = 11.4 feet - Pi (\( \pi \)) = 3.14 Substitute the given values into the formula: \[ V = 3.14 \times (10)^2 \times 11.4 \] Now, we can calculate the volume of the cylinder. Calculate the value by following steps: - step0: Calculate: \(3.14\times 10^{2}\times 11.4\) - step1: Rewrite the expression: \(314\times 11.4\) - step2: Multiply the numbers: \(3579.6\) The approximate volume of the cylinder is 3579.6 cubic feet.

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To find the volume of a cylinder, you can use the formula: Volume = π * r² * h. Plugging in the values, Volume = 3.14 * (10²) * 11.4. That's 3.14 * 100 * 11.4, which equals approximately 3588 cubic feet. Isn't it fascinating how straightforward geometry can help us understand the space in everyday objects? Picture this: if you had a cylinder with that volume, it could hold enough water to fill several bathtubs!

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