SOLUTION: Pls Help!!with full explaination : A cylindrical wax candle of radius 5cm and height 28cm, is melted and the wax is poured into a rectangular prism whose cross section is a square

Question 117582: Pls Help!!with full explaination : A cylindrical wax candle of radius 5cm and height 28cm, is melted and the wax is poured into a rectangular prism whose cross section is a square of side 8 cm. Calculate the height of the wax in the rectangular prism.
(take pi- 22/7)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The candle is modeled as a cylinder of radius, r, and height, h.
The volume of a cylinder is given by the formula,

There is 2200 sq.cm. of wax that gets poured into the prism.
The volume of the rectangular prism is given by

where A is the cross sectional area.
The cross section of the prism is a square with 8 cm sides.
The area of a square is given by,
}
}

Putting that back into our prism volume equation,

We set this equal to the volume of wax and solve for L.

The height of the wax in the prism is 34 3/8 cm.
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