Multiple choice general knowledge math & puzzles

A cube with edge length x and a right cylinder with circular base have the same volume. Find x ,in cm, if the radius of the cylinder is 5 cm and its height is 5 cm.

  1. 5(Pi)^1/3

  2. 5Pi

  3. 125Pi

  4. 125

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The volume of the cylinder is V = πr²h = π(5)²(5) = 125π cubic cm. For a cube with edge length x, the volume is V = x³. Setting the volumes equal: x³ = 125π, which gives x = (125π)^(1/3) = 5π^(1/3) cm. Option B (5π) would give volume 125π³, Option C (125π) would give volume (125π)³, and Option D (125) would give volume 1,953,125 - all incorrect.