if the hight of a cylinder is 4 inches, and the volume is 15 ml, whats the diameter?

Question

if the hight of a cylinder is 4 inches, and the volume is 15 ml, whats the diameter? 

 

please answer asap! its so important! 

Answer 1

Hello, thank you for taking the time to post your question!

The underlying formula that you want to use here is

d = 2r = 2*sqrt(V / pi*h)

for this scenario we have V = 15 ml x 0.061 in^3/ml = 0.915 in^3 and h = 4, meaning that the equation becomes

d = 2*sqrt(0.915 / pi * 4) = 0.54

so the diameter of the cylinder is about 0.54 inches

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Zack,

 

1st of all we need to get everything into a consist system of units.  For the volume V = 15 mL,

one mL = 1 cm ³ , so rather than try to convert this to cubic inches lets work with cm since the conversion from inches to cm is straight forward.  1 inch = 2.54 cm, so 4 inches x 2.54 cm per inch = 10.16 cm.

 

Now for a cylinder, volume = height (h) x area of the base (pi*radius squared).

 

so V = h*pi*r²

 

To find r we rearrange:  r² = V/(h*pi) , so r = [V/(h*pi)]^½ 

 

and d = 2*r

 

Solving for r we get r = [15 cm ³ /(10.16 cm * 3.14)] ^½ = 0.69 cm

 

then d = 2*r =1.4 cm

 

Let's check our result.  V = h*pi*r² , so V = 10.16 cm * pi * (0.69 cm)² = 15.2 cm^³ ,

 

so we're right back where we started within round off errors.

 

Now if you like you can convert d = 1.4 cm back to inches :  1.4 cm / 2.54 cm per inch = 0.55 inches

 

Answer 3

V=(∏D²/4)*h

Plugging all the data in the above formula, we obtain:

15=(∏D²/4)*4*2.54

D²= 1.90 cm

D= 1.38 cm

D= 0.54 inches

For 10 ml D²will be 1.2666

D will be 1.1254 cm and

D= 0.443 inches

for the 20Ml D² = 2.532