Question
Asked Oct 8, 2019
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The lateral surface area of a cone of radius r and height h is

A=(pi)(r)[r^2+h^2]^(1/2)

Find an expression for dr/dh

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Expert Answer

Step 1

Refer to the question, differentiate the provided lateral surface area with respect h as,

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A (pi)(r)[r +hr 2 A = rr h*

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Step 2

Then transform the lateral surface area of the cone in terms of r as,

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A = nrr+h A rr + hP Squaring both sides

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Step 3

Now  different...

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dA d dh dr dr +2r dh -+ (2h) 0 47.3 dh dr 2r dh (2r2 +h)= -2hr2 dr rh 2r2 dh

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Tagged in
MathCalculus

Derivative