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Q: What is the volume of a cylinder with the height 14 and the radius of 5.5?

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The volume (v) of a cylinder is equal to its height (h) times its radius (r) squared times pi, and is expressed in cubic units. v = (h)(r)(r)(3.14) radius (r) is equal to one-half of diameter. For your question: v = (24 ft)(7 ft)(7 ft)(3.14) v = 3692.6 cubic feet

The way I remember the equation for the volume of a cylinder is by thinking of it as a circle with height. The area of a circle is pi x r^2, so the volume of a cylinder is pi x r^2 x h. We need to derive r from the circumference. Since pi is the ratio of any circle's circumference to its diameter, just divide the circumference by pi to get the diameter, then divide that by 2 to get the radius. So the radius is (2.25/pi) ft. When we square that, we have (5.0625/pi^2) ft^2. Multiplying that by pi gives us (5.0625/pi) ft^2. Multiplying by the height makes it (65.8125/pi) ft^3, which is roughly 21 cubic feet.HAPPY PI DAY on 3/14! Better yet, HAPPY PI MINUTE at 3/14/15 9:27!

V = 1,570 ft3

The volume of the prism is 196 units^3

Volume of locker: 36*15*14 = 519 cubic inches

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Volume sphere = 4/3 πr³ = 4/3 π 7³ = 1372π/3 Volume cylinder = πr²h = 1372π/3 → r²h = 1372/3 So as long as the radius of the cylinder is related to its height by: radius = √(1372 / (3×height)) or height = 1372 / (3×radius²) You can have a cylinder of almost any size you want. Example sizes: radius 1, height 1372/3 radius 7, height 28/3 height 7, radius 14/√3 height 28/3, radius 7 height 49, radius √(28/3)

142 x pi x 11 = 6773.27

A cylinder whose radius is 6 and height is 14 has a surface area of 754 units2

(Area of the base) * (height) = (pi * (5 in)2) * (14 in) = pi * 350 in3 = 1099.56 in3

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Volume = pi*142*31 = 19,088.317 cubic units rounded to 3 decimal places

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