Question:medium

There is a possible error of 0.03 cm in a scale of length 1 foot with which the height of a closed right circular cylinder and the diameter of a sphere are measured as 3.5 feet each. If the radii of both cylinder and sphere are same, then the approximate error in the sum of the surface areas of both cylinder and sphere is (in square feet)

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For problems on approximate errors, use total differentials. The error $\Delta z$ in a function $z=f(x,y)$ is approximated by $dz = \frac{\partial f}{\partial x} dx + \frac{\partial f}{\partial y} dy$, where $dx$ and $dy$ are the errors in $x$ and $y$. Be mindful of relative vs. absolute errors and unit consistency.

Updated On: Mar 30, 2026

0.385
0.0962
0.77
0.1925

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The Correct Option is D

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