Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.1 Linear Approximation, #27 · Calculus · Applications of derivatives

… if a cylinder of height 3 changes from … to

Find the linear change $d V$ in the volume or $d A$ in the surface area.

$d V$ if a cylinder of height 3 changes from $r = 2$ to $r = 1.9$ . Extra credit: What is $d V$ if $r$ and $h$ both change ( $d r$ and $d h$ )?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.1 Linear Approximation, #27

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