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

if the hight of a cylinder is 4 inches, and the volume is 15 ml, whats the diameter? 
 
please answer asap! its so important! 

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Francisco E. | Francisco; Civil Engineering, Math., Science, Spanish, Computers.Francisco; Civil Engineering, Math., Sci...
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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

Comments

I made a big mistake because I though that the volume was given in inches3, I already fixed it, thanks to the tutor.
no worries man! your awesome!

what would be the answer if the ml was 10, and 20??
Stephen K. | Physics PhD experienced in teaching undergraduatesPhysics PhD experienced in teaching unde...
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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 , 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 cm³ ,
 
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
 

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Thanks a lot. your awesome! 
 
what would be the answer if the ml was 10, and 20??