Multiple choice

Find the volume of the frustum cone whose base and top radius is $5$ mm and $2$ mm respectively. The height of the cone is $15$mm. (Use $\pi$ = 3.14).

  1. $612.3$ mm$^3$
  2. $602.3$ mm$^3$
  3. $622.3$ mm$^3$
  4. $632.3$ mm$^3$
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A Correct answer
Explanation

The volume of a frustum is (1/3) * pi * h * (R^2 + r^2 + R*r). Plugging in R=5, r=2, h=15, and pi=3.14: Volume = (1/3) * 3.14 * 15 * (25 + 4 + 10) = 3.14 * 5 * 39 = 612.3.

AI explanation

The volume of a frustum of a cone is calculated as V = 1/3 * pi * h * (R^2 + r^2 + R*r), where R is the base radius and r is the top radius. Plugging in the given values results in V = 1/3 * 3.14 * 15 * (5^2 + 2^2 + 5*2). The total evaluates to 1/3 * 47.1 * 39, which equals 612.3 mm^3.

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