Question 1075473
Find the radius of a cone with the volume of 175 cm cubed and a height of 21 cm 
:
The cone volume formula: V = {{{1/3}}}{{{pi*r^2*h}}}
In this problem:
V = 175
h = 21
{{{1/3}}}{{{pi*r^2*21}}} = 175
Cancel 3 into the 21
{{{pi*r^2*7}}} = 175
{{{r^2}}} = {{{175/(7*pi)}}}
{{{r^2}}} = 7.957747
r = {{{sqrt(7.957747)}}}
r = 2.821 cm is the radius
:
:
Check this using your calc
V = {{{1/3}}}{{{pi*2.821^2*21}}}