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SSC CGL 2025 First Shift 📅 17 Sep, 2025

A hollow metallic sphere has outer radius 10 cm and is melted to make 50 smaller solid spheres of radius 2 cm. What is the inner radius of the original sphere?

A
8.43 cm
B
7.48 cm
C
5.46 cm
D
6.44 cm
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SSC CGL
2025 • 17 Sep, 2025 • First Shift
A hollow metallic sphere has outer radius 10 cm and is melted to make 50 smaller solid spheres of radius 2 cm. What is the inner radius of the original sphere?
Correct Answer
8.43 cm
(4/3)π(10³ - r³) = 50 * (4/3)π(2³). 1000 - r³ = 400 => r³ = 600 => r = 8.43 cm.[span_59](start_span)[span_59](end_span)...
Ref/Book : 17 Sep S1 2025.pdf
Ref. Subject Mathematics
Chapter -
Ref. Topic Mensuration
Pg. No -
💡 Analysis & Explanation
Introduction ▼
(4/3)π(10³ - r³) = 50 * (4/3)π(2³). 1000 - r³ = 400 => r³ = 600 => r = 8.43 cm.[span_59](start_span)[span_59](end_span)
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