Multiple Choice Question (MCQ)
A sphere of radius 5 has the same volume as a cube with an edge of approximately what length?
-
×
5.00
-
×
5.50
-
×
6.24
-
✓
8.06
-
×
9.27
Answer
-
The volume of the sphere is
\dfrac{4}{3} πr^3 = \dfrac{4}{3}\times 3.14\times 5^3 = 523.6
So the edge of the cube is the cube root of the volume,
\sqrt[3]{532.6} \approx 8.06