The cone of the largest volume is cut out from a solid wooden hemisphere. The remaining material is what percent of the volume of the original hemisphere?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 50%.
The volume of hemisphere = 2/3πr3
The volume of cone = 1/3πr2
Where r = h
The volume of cone = 1/3πr2r - 1/3πr3
So the remaining volume = 2/3πr3 - 1/3πr3
Percentage of the remaining material = (1/3πr3)/(2/3πr3) × 100 = 50%