A cylinder is inscribed inside a cube of side 10 cm. What percentage of the cube's volume is occupied by the cylinder?
Show answer & explanation
Correct answer: A
Explanation
Side of the cube = 10 cm
Volume of the cube = a³
Volume of the cube = 10³ = 1000
For the cylinder: r = 5 cm, h = 10 cm
Volume of the cylinder = πr²h
Volume of the cylinder = π × 5² × 10 = 250π
Percentage = (250π / 1000) × 100 = 25π = 78.5%