SOLUTION: Two cylinder a and b whoes radious of base are in ratio 3:2 nd height a is in the ratio of n:1if volume of cylinder a is three times the volume of cylinder b then find the value of

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Question 1038486: Two cylinder a and b whoes radious of base are in ratio 3:2 nd height a is in the ratio of n:1if volume of cylinder a is three times the volume of cylinder b then find the value of n
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two cylinder a and b whose radius of base are in ratio 3:2 and height a is in the ratio of n:1
if volume of cylinder a is three times the volume of cylinder b then find the value of n
:
let 3 = radius of Cylinder a; & 2 = radius of b
and
n = height of a; and 1 = height of b
:
Va = 3Vb
pi%2A3%5E2%2An = 3%28pi%2A2%5E2%2A1%29
divide both sides by pi
9n = 3*4*1
9n = 12
n = 12/9
n = 11%2F3 is the height of a
:
:
You can confirm this for yourself, replace n with 4/3 in the equation, see if equality reigns.