In the frustum of the cone, the top diameter is twice the bottom diameter. If the height of the frustum is h centimeters, find the height of the cone
Attached Figure / Diagram
A
2h
B
2\(\pi\)h
C
\(\pi\)h
D
\(\frac{\pi h}{2}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{x}{r}\) = \(\frac{x + h}{2r}\)
2 x r = r (x + h)
Total height of cone = x + h
but x = h
total height = 2h
Source: Myschool Past Questions Archive (Record #33040)