SOLUTION: Twelve identical cylindrical candles are melted and recast into a larger candle in the shape of a sqaure prism with height 20cm. If the base radius and the height of each cylindric

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Question 1089212: Twelve identical cylindrical candles are melted and recast into a larger candle in the shape of a sqaure prism with height 20cm. If the base radius and the height of each cylindrical candle are 1cm and 9cm respectively, find the side of the base of the larger candle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Twelve identical cylindrical candles are melted and recast into a larger candle in the shape of a sqaure prism with height 20cm.
If the base radius and the height of each cylindrical candle are 1cm and 9cm respectively, find the side of the base of the larger candle.
:
Find the total volume of the wax in the 12 candles
:
V+=+12%28pi%2A1%5E2%2A9%29
V = 339.3 cu/cm
:
The pyramid equation, b = the area of the base
1%2F3b%2A20 = 339.3
get rid of the fraction, multiply both sides by 3
20b = 1017.9
b = 1017.9%2F20
b = 50.9 sq/cm is the area of the base which is square, therefore
s = sqrt%2850.9%29
s = 7.13 cm is the side of the resulting candle