Please see attachment.

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- Apr 13th 2010, 10:50 AMWartonMortonLeast Surface Area Problem
Please see attachment.

- Apr 13th 2010, 10:52 AMearboth
- Apr 13th 2010, 11:03 AMWartonMorton
- Apr 13th 2010, 11:16 AMrunning-gag
Hi

Let R be the radius of the cylinder and L its length

The volume is $\displaystyle V_0 = \pi R^2L + \frac43 \pi R^3 = 13.4 cm^3$

From this expression you can find L as a function of R

The area is $\displaystyle A(R,L) = 2\pi RL + 4 \pi R^2$

Substitute L function of R to get A(R)

Calculate A'(R) to find the value of R which minimizes the area - Apr 13th 2010, 11:20 AMWartonMorton
- Apr 13th 2010, 11:31 AMrunning-gag
I am getting 1.473 in (Wondering)

- Apr 13th 2010, 05:18 PMWartonMorton
- Apr 13th 2010, 10:44 PMearboth