Question
Download Solution PDFThe length of the side of a cube is 2.8 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:
Length of the side of the square = 2.8 cm
Concept used:
Length of cube = Diameter of sphere
The volume of sphere = \(\frac{4}{3} \pi r^3\)
Calculation:
Diameter of sphere = 2.8 cm
Radius of sphere = 1.4 cm
The volume of sphere = \(\frac{4}{3} \pi r^3\)
= \(\frac{4}{3} \pi \) x (1.4)3
~ 11.49 = 11.50 cm3
Hence, the correct answer is '11.50 cm3'.
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