SOLUTION: its says a SMALL JAR cyrindical glass has radius 3 cm and height 7 sm , the larger jar is similar to the shape the glass is 216 times of the small jar. Work out the radius and

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Question 669934: its says a SMALL JAR cyrindical glass has radius 3 cm and height 7 sm ,
the larger jar is similar to the shape
the glass is 216 times of the small jar.
Work out the radius and height of the jar
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a SMALL JAR; cylindrical glass has radius 3 cm and height 7 cm,
the larger jar is similar to the shape
the glass is 216 times of the small jar.
Work out the radius and height of the jar
:
let r = the radius of the big jar
then
7%2F3r = the height of the big jar
:
The equation
pi%2A3%5E2%2A7%2A216 = pi%2Ar%5E2%2A%287%2F3%29r
":
pi%2A13608 = pi%2A%287%2F3%29r%5E3
divide both sides by pi
13608 = 7%2F3r^3
:
r%5E3 = 3%2F7*13608
:
r%5E3 = 5832
find the cube root of both sides
r = 5832%5E%281%2F3%29
r = 18 cm is the radius of the big jar
and
7%2F3*18 = 42 cm is the height