Question 1175728
<br>
From the context, you CLEARLY mean "circle" instead of "cycle"....<br>
The radius of the given circle is 9cm.
The circumference of the circle is 18pi cm.
The length of the arc of the circle subtended by a central angle of 240 degrees is 240/360 = 2/3 of the circumference, which is 12pi cm.
That 12pi cm is the circumference of the base of the cone.
So the radius of the cone is 6cm.
The 9cm radius of the original circle is the slant height of the cone.
The radius of the cone being 6cm and the slant height being 9cm, the Pythagorean Theorem gives the height of the cone.<br>
You now have the radius, height, and slant height of the cone; you can answer all of the questions.<br>