Multiple choice

A candle in the shape of cylinder is manufactured in such a way that its height is 3 inches more than its radius. Which of the following expresses the volume, V, in cubic inches, of the candle, where r is the radius, in inches?

  1. 3πr2 + πr

  2. 3πr + πr3

  3. 3πr2 + πr3

  4. 3πr3
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C Correct answer
Explanation

The volume of a cylinder is V = pi * r^2 * h. Given h = r + 3, substitute this into the formula: V = pi * r^2 * (r + 3) = pi * r^3 + 3 * pi * r^2.

AI explanation

Using the volume of a cylinder formula, V equals pi times the radius squared times the height. Given the height is 3 inches more than the radius, we substitute h with (r plus 3) to get V equals pi times r squared times (r plus 3). Expanding this expression gives V equals 3 pi r squared plus pi r cubed.

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