Question
Download Solution PDFFind the volume of the largest sphere that can be carved out of a cube of side 21 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Side of cube = 21 cm
Formulas used:
Volume of sphere = 4/3πr3
Calculation:
The largest sphere that can be carved out of a cube of side 21 cm will have the diameter equal to 21 cm.
Radius of sphere = 21/2 cm
Volume of sphere = 4/3 × 22/7 × 21/2 × 21/2 × 21/2
⇒ 11 × 21 × 21
⇒ 4851 cm3
∴ The required result is 4851 cm3.
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