Question 1131058
the area of the base a right circular cone is 38.50 sq. cm.
find r, the radius
{{{pi*r^2 = 38.5}}}
r = {{{sqrt(38.5/pi)}}}
r = 3.5 cm
 if its height is three times the radius of the base, 
h = 3(3.5) 
h = 10.5 cm is the height
find it's volume
V = {{{1/3}}}{{{pi*3.5^2*10.5}}}
V = 134.7 cu/cm is the volume
:
The area of a cone:
Find the slant height of the cone
s = {{{sqrt(3.5^2+10.5^2)}}}
s = 11.07 cm is the slant height
Find the lateral area A = {{{pi*r*s}}}
A = {{{pi*3.5*11.07}}}
A = 121.7 sq/cm is the lateral surface area
:
If you want the total surface area, add 38.5 to the later surface area