Question 1131059

A right cone with a base that is a circle.

{{{SA=pi*r*s}}} where {{{r}}} is radius of the base and {{{s}}} is slant height

given:
 a height {{{h=4cm}}} 
radius {{{r=3cm }}}

find slant height using Pythagorean theorem:

{{{s^2=r^2+h^2}}}

{{{s^2=(3cm)^2+(cm)4^2}}}
{{{s^2=9cm^2+16cm^2}}}

{{{s^2=25cm^2}}}

{{{s=5cm}}}

then,

{{{SA=pi*3cm*5cm}}}
{{{SA=15pi*cm^2}}}