If you have a cylinder with a diameter of 20 cm and a height of 10 cm, what would its height have to be to accomodate the same volume if you were to reduce its diameter to 10 cm? Can you show me the equation? Thanks.
2006-08-19 08:40:47 · 7 answers · asked by flyingdebris1 3 in Science & Mathematics ➔ Physics
Multiply the surface area of one end (pi x radius squared) times the height of the cyllinder.
Equations are written out in clear notation at the site below.
Aloha
2006-08-19 08:45:33 · answer #1 · answered by Anonymous · 3⤊ 0⤋
asume the normalized volume( with out pi) is proportioanal to the the radius squared times the hight.
Cylinder volume = 10^2 x10=1000= Vol
so to have same volume with different height the formula is as follows;
Vol= 1000= 5^2 x h
solve for h=1000/25=40
converting using pi = 40 x pi
2006-08-19 09:12:41 · answer #2 · answered by goring 6 · 0⤊ 0⤋
volume of a cylinder=1/3*pi*r*r*h,where r is a radius, h is height
=1/3*3.14*10*10*10
=1046.67cu cm
now, 1046.67cu cm=1/3*3.14*5*5*h
1046.67*3=3.14*25*h
1046.67*3/3.14*25=h
so,h=40.00013 cm
2006-08-19 09:00:08 · answer #3 · answered by Anonymous · 0⤊ 0⤋
here we go, eq Volume=height*PI*R^2 so since you
want same Volumes we have the following eq
height(old)*PI*R(old)^2=height(new)*PI*R(new)^2
plug everything in (Diameter=2*R)
10*PI*10^2=height(new)*PI*5^2
hieght(new)=(10*PI*10^2)/(PI*5^2)
hieght(new)=40cm
good luck!
2006-08-19 08:50:43 · answer #4 · answered by ghakh 3 · 0⤊ 0⤋
10^2pi * 10 = 3141.5
ANS / (5^2pi) = 40
2006-08-19 08:48:19 · answer #5 · answered by shmifty__14 5 · 0⤊ 0⤋
This is a geometry question.
2006-08-19 08:46:51 · answer #6 · answered by ? 6 · 0⤊ 0⤋
hmm..
2006-08-19 08:46:40 · answer #7 · answered by Kayy 3 · 0⤊ 0⤋