Question 3

A cube and a sphere have equal height. Find the ratio of their volumes.

Solution

side = 2r

vol of cube = $$side^3$$

vol of sphere = $$\frac{4}{3}\pi\times r^3$$

ratio = $$\frac{(2r)^3}{\frac{4}{3}\pi\times r^3}$$

= $$6 : \pi$$

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