SOLUTION: A crayon in the shape of a cylinder surmounted by a conical tip has a total length of 8 cm. and a diameter of 1 cm. The total volume is 5 cubic cm. If x is the length of the cyli

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Question 312097: A crayon in the shape of a cylinder surmounted by a conical tip has a total
length of 8 cm. and a diameter of 1 cm. The total volume is 5 cubic cm.
If x is the length of the cylinder and y is the height of the cone.
Find x and y.
I've been trying to solve this using the elimination method of a system
of linear equations in two variables.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Total length is 8 cm.
1.
The volume of the cylinder is

The volume of a cone is,

The total crayon volume is.





Multiply by ,
2.
.
.
.
Subtract eq. 1 from eq. 2,



Then from eq. 1,




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