A cylinder with radius $$\(6 \mathrm{~cm}\)$$ and height $$\(h \mathrm{~cm}\)$$ has the same volume as a sphere with radius $$\(4.5 \mathrm{~cm}\)$$. Find the value of $$\(h\)$$. [The volume, $$\(V\)$$, of a sphere with radius $$\(r\)$$ is $$\(V=\frac{4}{3} \pi r^{3}\)$$.] $$\[ h= ............................................ \]$$
Exam No:0580_s20_qp_42 Year:2020 Question No:8(b)
Answer:
\(3.375\) cao
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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