A sphere is inscribed inside a cube. If the total surface area of the cube is 600 cm², what is the volume of the sphere?
Show answer & explanation
Correct answer: A
Explanation
TSA of the cube = 600 cm²
TSA = 6a²
6a² = 600
a² = 100
a = 10 cm
Radius of the sphere = a/2 = 5 cm
Volume = (4/3)πr³ = (4/3)π(5³) = 500π/3 cm³