Geometry and TrigonometryVery hardVolume left after removing a cone
Geometry and Trigonometry practice question
A cylinder has a base area of 36 square centimetres and a height of 10 centimetres. A cone with the same base and height is removed from it. What is the volume, in cubic centimetres, of the solid that remains?
Answer: 240
The cylinder's volume is 360 and the cone's is one third of that, 120. The remainder is 240.
Common wrong answers
- If you answered 120
- 120 is the cone's volume.
- If you answered 180
- 180 removes half instead of a third.
- If you answered 360
- 360 is the whole cylinder.
More Geometry and Trigonometry questions
- Very hard
Two parallel lines are cut by a transversal. One of the eight angles measures 47°. Which of the following is N… - Very hard
In a right triangle, angles A and B are the two acute angles, so A + B = 90°. If sin A = 0.6, what is the valu… - Very hard
A regular hexagon has a side length of 4. What is its area? (A regular hexagon of side s has area (3√3/2)s².) - Very hard
A cone has a radius of 6 and a height of 10. What is its volume? (Use V = (1/3)πr²h.) - Very hard
In the xy-plane, the graph of x² + y² − 12x − 4y + 15 = 0 is a circle. The line 3x − 4y = 25 intersects this c… - Very hard
What is the perimeter of triangle ABC?
Not affiliated with the College Board. SAT is a trademark of the College Board.