Mathematics
NULL
Medium
Question
A solid consists of a circular cylinder with an exact-fitting right circular cone on top. The height of the cone is h. If the total volume is three times the volume of the cone, the height of the cylinder is ________?
A
2h
B
4h
C
2h/3
✓ Official correct answer
D
3h/2
Community credibility
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A
2h
No member explanations yet for this option.
B
4h
No member explanations yet for this option.
C
2h/3
No member explanations yet for this option.
D
3h/2
No member explanations yet for this option.
Explanation
πr²H + (1/3)πr²h = πr²h ⇒ H + h/3 = h ⇒ H = 2h/3.