A drinking straw has a circumference of 30 mm and a height of 210 mm.



Which estimate best approximates the amount of liquid the straw can hold?

6300 mm³

12,600 mm³

15,000 mm³

63,000 mm³

Respuesta :

Answer: 15000

Step-by-step explanation: Just confirming the answer :)

Answer: The answer of this question is 15000[tex]mm^{3}[/tex].

Volume of a Cylinder

Volume of a cylinder is the amount of a particle which the cylinder of radius r and height h can hold. The formula of volume of a cylinder is as follows  

Volume=π[tex]r^{2} h[/tex]

Circumference of a cylinder

Circumference of a  cylinder is 2πr.

Volume of Cylinder:

We have been given that the circumference of a the drinking straw is 30mm and the height is 210mm.

By putting the formula of circumference of cylinder we have to  first calculate the radius of dinking straw.

           2πr=30

           2(3.14)r=30

           6.28r=30

           r=4.78mm

Now we will put the value of r in the formula of volume of cylinder to get the amount of liquid the straw can hold.

          π[tex]r^{2}h[/tex]=[tex]3.14(4.78)^{2}(210)[/tex]

                  =15066.23

                  =15000 [tex]mm^{3}[/tex] (approximately)

Hence the answer of this question is 15000[tex]mm^{3}[/tex].

We concludes that the volume of a cylinder shows the amount of particles it can hold.

Learn more about volume of cylinder at https://brainly.com/question/9554871

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