Multiple choice

Find the volume of a cylindrical bottle with radius $14$ cm and height $14$ cm. (Use $\displaystyle \pi =\frac { 22 }{ 7 } $)

  1. $\displaystyle 8520{ cm }^{ 3 }$
  2. $\displaystyle 8624{ cm }^{ 3 }$
  3. $\displaystyle 8132{ cm }^{ 3 }$
  4. $\displaystyle 8614{ cm }^{ 3 }$
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B Correct answer
Explanation

The volume of a cylinder is calculated using the formula V = pi * r^2 * h. Substituting the given values: V = (22/7) * 14 * 14 * 14 = 22 * 2 * 14 * 14 = 8624 cm^3.

AI explanation

The volume of a cylindrical bottle is calculated using the formula V = pi * r^2 * h. Substituting the radius of 14 cm, height of 14 cm, and pi as 22/7 into the formula gives V = (22/7) * 14^2 * 14. This simplifies to 22 * 2 * 14 * 14 = 44 * 196 = 8624. The volume of the bottle is 8624 cubic cm.