If the volume of a cylindrical can is 198.3 cm3 and height is 4.2 cm, what is the circumference?

Question

Title says it all

Answer 1

Hi, Jamie,

  I will show you an example that is done exactly as your problem, but it uses smaller numbers. For example:

 

                                          v= 8 in^{3                                 h=2.1 cm                Note: Circumference =distance around circular base}

If the volume of a cylindrical can is  8 in³ , and the height is 2.1 cm, what is the circumference?

 

Note Formuli:                                                        C=πdVolume of cylinder=                   Circumference= 2πr                 d=2π=2*pi

 

            V=πr² h  What do we know?    v= 8 in³     We know π≅ 3.14 and h=2.1  

We don't know the length of the radius.     v=πr² h   

 

Solve for "r" by dividing both sides of equation by    v= πr² h →   v= r²    You need to know what "r" is.

                                                                                     πh    πh         πh      ___

You find it by taking the square root of both sides:                               √{ v }    =   r

                                                                                                                   {πh}

Now, just substitute the values given:     

                  √{ 8 }      = r         8 divided by (2.1*pi).  Then take the square root = r≅ 1.101185311                  {2.1(π)}

 

Finally,   C= 2πr ≅2* pi* 1.101185311≅6.918951367   Answer to my example

 

Do your example the same way using your number values.    I hope that I helped.    Susan C.