SOLUTION: Find the amount of sheet metal needed to form a conical funnel of base radius 30 cm and vertical height 50 cm, allowing for a 0.5 cm overlap at the join. The answer is 5525 cm

Algebra ->  Volume -> SOLUTION: Find the amount of sheet metal needed to form a conical funnel of base radius 30 cm and vertical height 50 cm, allowing for a 0.5 cm overlap at the join. The answer is 5525 cm       Log On


   

Question 1066766: Find the amount of sheet metal needed to form a conical funnel of base radius 30 cm and vertical height 50 cm, allowing for a 0.5 cm overlap at the join.
The answer is 5525 cm squared.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+pi%2Ar%2Al+
where +A+ is the lateral surface area
+l++ is the slant height
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+l%5E2+=+30%5E2+%2B+50%5E2+
+l%5E2+=+900+%2B+2500+
+l%5E2+=+3400+
+l+=+sqrt%28+3400+%29+
+I+=+58.3095+
and
+A+=+pi%2A30%2A58.3095+
+A+=+pi%2A1749.29+
+A+=+5495.543+
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For the overlap I think I need a strip
+.5%2A58.3095+=+29.155+
and
+5495.543+%2B+29.155+=+5524.698+
Rounded off, this is +5525+ cm2