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?
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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!
