Lathe

Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume.

Correct answer:

p =  21.5 %

Step-by-step explanation:

$p=100\mathrm{\%}\cdot {\displaystyle \frac{V_1-V_2}{V_1}}=100\mathrm{\%}\cdot {\displaystyle \frac{53^3-\pi {\displaystyle \frac{53^2}{4}}\cdot 53}{53^3}}=100\cdot (1-{\displaystyle \frac{\pi }{4}})=21.5\mathrm{\%}$

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