Question 643957
A cube side 4cm has the same volume a cone with diameter 7cm.
correct to the nearest CM the height of the cone 
:
Find the volume: 4^4 = 64 cu/cm
:
Find the ht of the cone with this volume & radius of 3.5 cm (half the diameter)
{{{1/3}}}{{{pi*3.5^2*h}}} = 64
multiply both sides by 3
{{{pi*12.25*h}}} = 192
h = {{{192/12.25*pi)))}}}
h = 4.989 cm is the height
:
:
Check this on your calc: enter {{{1/3}}}*{{{pi*3.5^2*4.989}}} results: 63.9997 ~ 64