Question

help picture added !

Answer 1

i dont get when is say "radius equal to that of the cone" ?

Answer 2

That's mean ,you will need to find the radius of the cone in order to get the volume of the sphere (since they both have the same radius ) .
Got it ?

Answer 3

how do you find the radius ?

Answer 4

First of all you should know the following :
========================
--- >Lateral area of the cone = \[\Large \color{Red}{\pi*r*L}=60\pi\]
And you are given the slant height [L] =(10 cm ) .
thus ;
\[\Large 60\pi=\pi*r*10\] ===> solve for r ,
\[\Huge r=6 \]

--- > Volume of sphere = \[\Large \frac{4}{3}*\pi*r^3\] =
\[\Large \frac{4}{3}*\pi*(6^3)\] =
\[\Huge \color{Red}{288\pi}\]

Answer 5

You got it ?