Question 594142
a cone has volume 320cm cubed and height 16cm. find the radius of the base. round your answer to the nearest 0.1 cm.
:
Volume of cone equation: V = {{{1/3}}}{{{pi*r^2*h}}}
so we have:
{{{1/3}}}{{{pi*r^2*16}}} = 320
Multiply both sides by 3
{{{pi*r^2*16}}} = 3(320)
{{{pi*r^2*16}}} = 960
Divide both sides by {{{16*pi}}}
{{{r^2}}} = {{{960/(16*pi)}}}
Using a calc
{{{r^2}}} = 19.09859
r = {{{sqrt(19.09859)}}}
r ~ 4.4 cm