Question 555599
A cylinder has the diameter equal to the height. It's volume is 360cm.
 What is it's height?
:
let h = the height
then
.5h = the radius (half the diameter)
:
The volume formula: {{{pi*r^2*h}}} = V
{{{pi*(.5h)^2*h}}} = 360
{{{.25h^2*h}}} = {{{360/pi}}}
.25h^3 = 114.6
h^3 = 4(114.6)
h^3 = 458.366
h = {{{458.36^(1/3)}}}
h = 7.71 cm is the height
:
:
See if that works out: r = 7.71/2 = 3.855 cm
V = {{{pi*3.855^2*7.71}}}
V = 359.98 ~ 360 cu/cm