Question 33
Mensuration of SolidsIn the frustum of a cone shown above, the top diameter is twice the bottom diameter. If the height of the frustum is h centimeters, find the height of the cone.
- A.2h
- B.2πh
- C.πh
- D.πh/2
Show the answer and explanation
Answer: A (2h)
Explanation
The removed small cone has half the radius of the full cone, so by similar triangles it also has half the height. The frustum is the other half, so the full cone is 2h high.