Wednesday

April 23, 2014

April 23, 2014

Posted by **Icy** on Sunday, June 17, 2007 at 5:02pm.

2.A cylindrical vat must hold 5m(cubic) of liquid cake mix. The vat must be wider than it is tall, but no more than 3m in diameter. What dimensions will use the least amount of material?

The flap square is the height of the box.

Volume= (30-2h)^2 * h check that with a sketch.

max volume..

dV/dh= 2(30-2h)(-2h)+ (30-2h)^2=0

or 4h=30-2h or h=5

so check that to see if volume is greater than 100..

On the second, write the volume and surface area equations, then minimize surface area.

Thanks, I'll give it a try.

- Calculus -
**bob**, Wednesday, April 28, 2010 at 10:39amcool^2

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