Question
Download Solution PDFThe length of the side of a cube is 5.6 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:
Edge of the cube = 5.6 cm
Formula used:
The volume of the sphere = (4/3) × π × r3
Calculation:
Diameter of the sphere = Edge of the cube
⇒ 2 × radius of sphere = 5.6 cm
⇒ The radius of sphere = 5.6/2 = 2.8 cm
The volume of the sphere = (4/3) × (22/7) × (2.8)3
⇒ 88/21 × 21.952
⇒ 91.98
∴ The volume of the largest sphere that can be taken out of the cube is 91.98 cm3
Last updated on Jul 14, 2025
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