Problem

See Examples $5-7 .$ If you do not have a calcula…

02:52

Problem 31 Medium Difficulty

See Examples $5-7 .$ If you do not have a calculator, use 3.14 as an approximation of $\pi .$ Answers may vary slightly depending on which approximation of $\pi$ is used.
Straws. Find the volume of a 150 millimeter-long drinking straw that has an inside diameter of 4 millimeters. Round to the nearest cubic millimeter.

Answer

$$1,885 \mathrm{mm}^{3}$$

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Algebra

Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 4

Formulas

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Video Transcript

and this problem. We're being asked to find the volume off a 150 millimeter long drinking straw that hasn't inside diameter of four millimeters. And then we're the rounds in the Earth cubic millimeter, in other words, to nearest hole number. Well, let's think about what a strong looks like. Here's my as good as I can draw it. Picture of a straw, which essentially is a cylinder, while if we're being asked to find the volume of the cylinder, remember to find the volume of cylinder is to Formula V equals pi r squared H Well, we were told that it's 150 millimeters long. Well, that's gonna represent the height. Now we were told that the diameter is four millimeters. Remember the diameter would be the whole life across. But in our formula, we need the radius, which is half of the diameter. The radius is only going from the middle to the etch, so it would be half the diameter. So if I die, I am Mother was four our radius with the half of it, which would be two millimeters. Well, now that we know the radius and the height, we simply need to substitute those values into the formula to find the volume. So we're gonna have the volume is equal to pi times The radius which remember we said, was too squared times the height which was 150. Now we need to evaluate Well, first, we need to do to square which is for so what v equals pi times four times 1 50 Next, we can multiply four times 1 50 which will give us 600 then we can multiply 600 times pi. Now, if you don't have a calculator, you can use the value 3.14 for pie. However, my calculator does have the pie, but and so I'm going to use that. So the calculator gives me V equals 1884 0.9 size size 592 Now remember our directions tell us around to the nearest cubic millimeter, in other words, to the nearest hole number, which means we need to look at the decimal place right after which in this case is nine. Well, because nine is greater than five. What that's going to do is bump this four of two or five so our volume will equal 1885. Now we have to consider the units we remember. The units for all volume is always cubic while our units four millimeters So in this case, the volume units will be cubic millimeters.

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