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SSC CHSL 2025 PYQ — Question 66

SSC CHSL - 13 Nov 2025 - Shift 1 • Quantitative Aptitude • Q66

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A spherical cannonball with a diameter of 28 cm is melted and recast into a rectangular block. The length and breadth of the block are 44 cm and 14 cm respectively. What is the height of the rectangular block? (Take π = 22/7)

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Correct answer: C

Explanation

Given:
Diameter of the sphere = 28 cm
Radius r = 14 cm
Length of the block = 44 cm
Width of the block = 14 cm
According to the formula:
Volume of the sphere = (4/3)πr³
Volume of the rectangular block = l × b × h
43×227×143=44×14×h43×227×2744=616h616h=344963h=344961848\frac{4}{3} \times \frac{22}{7} \times 14^3 = 44 \times 14 \times h \\ \frac{4}{3} \times \frac{22}{7} \times 2744 = 616h \\ 616h = \frac{34496}{3} \\ h = \frac{34496}{1848}
h = 18.67 cm