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SSC MTS 2023 PYQ — Question 4

SSC MTS - 09 May 2023 - Shift 1 • Quantitative Aptitude • Q4

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The largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 792/7 cm³.

Given that

Side of cube = 6 cm = Diameter of the sphere

Radius = 3 cm

Volume of sphere = 43\frac{4}{3}πr3 = 43\frac{4}{3} × 227\frac{22}{7} × 3 × 3 × 3 = 36 × 227\frac{22}{7} = 792/7 cm3.