A solid metal cube of side $$\(20 \mathrm{~cm}\)$$ is melted down and made into 40 solid spheres, each of radius $$\(r \mathrm{~cm}\)$$ Find the value of $$\(r\)$$. [The volume, $$\(V\)$$, of a sphere with radius $$\(r\)$$ is $$\(V=\frac{4}{3} \pi r^{3}\)$$.] $$\[ r= ............................................ \]$$
Exam No：0580_s20_qp_42 Year：2020 Question No：8(c)
Answer:
\(3.63\) or \(3.627\) to \(3.628\)
Knowledge points:
E5.4.1 Carry out calculations involving the surface area and volume of a cuboid, prism and cylinder. (Answers may be asked for in multiples of π.)
E5.4.2 Carry out calculations involving the surface area and volume of a sphere, pyramid and cone. (Formulae will be given for the surface area and volume of the sphere, pyramid and cone in the question.)
Solution:
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