Question
Download Solution PDFThe length of the side of a cube is 4.2 cm. What is the volume of the largest sphere that can be taken out of the cube?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The length of the side of a cube is 4.2 cm.
Concept used:
1. The diameter of the largest sphere that can be taken out of the cube should be equal to the measure of each side of the cube.
2. Volume of a sphere = 4π(Radius)3 ÷ 3
Calculation:
Diameter of the sphere = 4.2 cm3
Radius of the sphere = 4.2/2 = 2.1 cm3
Now, the volume of the sphere
⇒ (4π × 2.13)/3
⇒ 38.808 ≈ 38.80 cm3
∴ The volume of the sphere that can be taken out of the cube is 38.80 cm3.
Last updated on Jul 9, 2025
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