A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10.5
A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm.
So,
4/3 × π × x3 = 126 × π/3 × 3.52 × 3
4x3 = 126 × 3.52 × 3
x3 = 31.5 × 3.52 × 3
x = 3.5 × 9 × 3.52 × 3
So,
x = 3.5 × 3 = 10.5 cm