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Subject - Mathematics:

General

MCQ - 392-9124

Question:

A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. The number of balls formed is

  1. 16
  2. 32
  3. 24
  4. 32

Correct Answer: B

Explanation:

For solid metal cone,
Height, h = 24 cm
Base radius, b = 12 cm
We know,

15 -90480904
Where r is base radius and h is the height of cone.
Putting the values,
16 -55649788
For a solid spherical ball,
Diameter = 6 cm
Radius, r = 3 cm
17 -39610136
We know,
18 -97526488
Where, r is radius of sphere.
Putting the values, we have
19 -59552356
On solving, we get
No of balls = 32

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