SOLUTION: A sector of a cycle of radius 9cm subtending an angle 240 at the centre of the cycle , is used to form a cone. Calculate to the nearest whole number the;
1). Base radius of the co
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Question 1175728: A sector of a cycle of radius 9cm subtending an angle 240 at the centre of the cycle , is used to form a cone. Calculate to the nearest whole number the;
1). Base radius of the cone
2). Height of the cone
3). Total surface area of the cone
4). Volume of the cone.
Found 2 solutions by Solver92311, greenestamps:
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
What is a sector of a "cycle"?
John
My calculator said it, I believe it, that settles it
From
I > Ø
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
From the context, you CLEARLY mean "circle" instead of "cycle"....
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.
You now have the radius, height, and slant height of the cone; you can answer all of the questions.
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