Question : A solid metallic sphere of radius 13 cm is melted and recast into a cone having a diameter of the base as 13 cm. What is the height of the cone?
Option 1: 246 cm
Option 2: 152 cm
Option 3: 174 cm
Option 4: 208 cm
Correct Answer: 208 cm
Solution :
We know,
The volume of a cone =
The volume of a sphere =
According to the question,
Let the height of the cone be h
⇒
⇒
⇒
⇒
⇒ Height of the cone = 208 cm
Hence, the correct answer is 208 cm.
SSC CGL Complete Guide
Candidates can download this ebook to know all about SSC CGL.