Multiple choice technology programming languages

Trying determine the shape of a cylindrical can made from 1000 cm2 of tin that has the largest possible volume is an example of:

  1. Array calculation

  2. Text manipulation

  3. Optimization problem

  4. Object oriented programming
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C Correct answer
Explanation

This is a classic optimization problem - finding the dimensions of a cylinder that maximize volume given a fixed surface area constraint. Such problems use calculus (derivatives to find maxima/minima) to determine optimal solutions.

AI explanation

Determining the can shape (radius and height) that maximizes volume for a fixed amount of material (1000 cm² of tin) is a classic constrained optimization problem: you express volume as a function of one variable using the surface-area constraint, then use calculus (take the derivative, set it to zero) to find the maximizing dimensions. It's not array calculation (no data structures/lists involved), text manipulation (no strings), or object-oriented programming (no classes/objects) — it's purely a mathematical optimization task.

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