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What is the volume, in cubic feet, of a cylinder with a height of 18 feet and a base radius of 7 feet, to the nearest tenths place?

Ask by Lowe Lindsey. in the United States
Mar 13,2025

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Answer

The volume of the cylinder is approximately 2770.9 cubic feet.

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 base of the cylinder, - \( h \) is the height of the cylinder. Given: - Height of the cylinder, \( h = 18 \) feet, - Radius of the base of the cylinder, \( r = 7 \) feet. Substitute the given values into the formula to find the volume of the cylinder. Calculate the value by following steps: - step0: Calculate: \(\pi \times 7^{2}\times 18\) - step1: Multiply the terms: \(49\pi \times 18\) - step2: Multiply the terms: \(882\pi \) The volume of the cylinder is approximately 2770.88472 cubic feet. To the nearest tenths place, the volume of the cylinder is 2770.9 cubic feet.

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To find the volume of a cylinder, you can use the formula \( V = \pi r^2 h \), where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height. Given a height of 18 feet and a base radius of 7 feet, you can plug these values into the formula: \[ V = \pi (7^2)(18) = \pi (49)(18) \approx 3.14 \times 882 \approx 2770.1 \] So, the volume is approximately 2770.1 cubic feet. Here’s a fun fact: The cylinder's volume is tied to its real-world applications. From soda cans to pillars in architecture, this shape pops up everywhere! And funnily enough, it’s even used in the cookies they bake for quick distribution—cylinders are ideal for stacking! If you think math is just a bunch of boring numbers, think again! One common mistake is forgetting to square the radius. Miscalculating that can throw you off completely, resulting in a volume that's way off base! Always double-check your calculations for a happy ending!

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