Multiple choice

Calculate the volume of a cone whose radius is $ 14 $cm and height is $ 12$ cm.

  1. $\displaystyle 2,464cm$
  2. $\displaystyle 2,404{ cm }^{ 3 }$
  3. $\displaystyle 2,444{ cm }^{ 3 }$
  4. $\displaystyle 2,464{ cm }^{ 3 }$
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D Correct answer
Explanation

Volume of a cone = (1/3)pi*r^2*h = (1/3)(22/7)14*14*12 = (1/3)(22/7)*196*12 = 22*28*4 = 2464.

AI explanation

Using the volume of a cone formula V = 1/3*pi*r^2*h, we substitute the given radius 14 and height 12. Using pi as 22/7, the calculation is 1/3 * 22/7 * 14 * 14 * 12 = 2464 cm^3.