SOLUTION: hello sir/madam Could you please help me solve the question given below A cylinder of maximum volume is inserted in a cube.what is the volume of the cylinder,if the volume of

Algebra ->  Volume -> SOLUTION: hello sir/madam Could you please help me solve the question given below A cylinder of maximum volume is inserted in a cube.what is the volume of the cylinder,if the volume of      Log On


   

Question 820741: hello sir/madam
Could you please help me solve the question given below
A cylinder of maximum volume is inserted in a cube.what is the volume of the cylinder,if the volume of cube is 1728 cu.cm?
thank you
Answer by jhunjiro(67) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
V%5Bcube%5D=1728+
solution:
s=side
V%5Bcube%5D=s%5E3+
1728=s%5E3+ get the cube root
s=12=Diameter%5Bcylinder%5D=12+=Height=12+
r=6+
+V%5Bcylinder%5D=%28pi%29r%5E2%28h%29
+V=%28pi%29%286%5E2%29%2812%29+
+highlight+%28V=1357.168026%29