Question 454353
how to find the radius of a cone with v=10 and h=5
:
Vol of a cone: v = {{{(1/3)pi*r^2h}}}
replace h and v, find r
{{{(1/3)pi*r^2*5}}} = 10
get rid of the fraction, multiply both sides by 3
{{{pi*r^2*5}}} = 30
divide both sides by 5pi
{{{r^2}}} = {{{30/(5*pi)}}}
{{{r^2}}} = 1.91
r = {{{sqrt(1.91)}}}
r = 1.382 is the radius
;
:
Check on a calc: enter: 1/3 * {{{pi}}}*1.382^2*5, results: 10.00