Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2006 · Marks: · Difficulty:
A metallic sphere of radius 5 cm is melted to make a cone with base of the same radius. What is the height of the cone?
(a)5 cm
(b)10 cm
(c)15 cm
(d)20 cm
Answer
Answer (as printed): D
Explanation
Let the height of the cone be $h \mathrm{cm}$. Then, $\frac{4}{3} \pi \times 5^{3}=\frac{1}{3} \pi \times 5^{2} \times h \Rightarrow h=20 \mathrm{cm}$.