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SSC CGL 2018 PYQ — Question 35

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q35

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A hollow sphere is melted to form small identical! hollow spheres. Inner and outer radius of the bigger sphere are 4 cm and 6 cm respectively. If inner and outer radii of the smaller sphere are 2 cm and 3 cm respectively, then how many smaller spheres can be formed?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 8

Let say, n number of sphere can be made.

So, According to question,

43π\dfrac{4}{3\pi}(R3 – r3) = n ×43π\dfrac{4}{3\pi}(R13−r13)(R^3_1 - r^3_1)

or, 43π\dfrac{4}{3\pi}(63 – 43) = n × 43π\dfrac{4}{3\pi}(33 – 23)

or, (216 − 64) = n × (27 − 8).

or, n = 15219\dfrac{152}{19} = 8.