Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A metallic hemisphere is melted and recast in the shape of a cone with the same base radius $(R)$ as that of the hemisphere. If H is the height of the cone, then
(a)$H=2 R$
(b)$H=3 R$
(c)$H=\sqrt{3} R$
(d)$H=\frac{2}{3} R$
Answer
Answer (as printed): A
Explanation
$\frac{2}{3} \pi R^{3}=\frac{1}{3} \pi R^{2} H \Rightarrow H=2 R$.
Explanation as extracted from the printed page; notation may be imperfect.