A solid metal cone has radius $$\(1.65 \mathrm{~cm}\)$$ and slant height $$\(4.70 \mathrm{~cm}\)$$. A metal sphere with radius $$\(5 \mathrm{~cm}\)$$ is melted down to make cones identical to this one. Calculate the number of complete identical cones that are made. [The volume, $$\(V\)$$, of a sphere with radius $$\(r\)$$ is $$\(V=\frac{4}{3} \pi r^{3}\)$$.]

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_m20_qp_42 Year:2020 Question No:4(c)(ii)

Answer:

41 nfww

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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