A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
$1 : 2$
$2 : 1$
$3 : 1$
$1 : 3$

2 : 1

3 : 1

1 : 3

1 : 2

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$1 : 2$
$2 : 1$
$3 : 1$
$1 : 3$