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A solid metallic cone of height 10 cm and radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?
  • a)
    25
  • b)
    50
  • c)
    125
  • d)
    75
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A solid metallic cone of height 10 cm and radius of base 20 cm is mel...
Volume of cone = 1/3πr2h
=(1/3)×π×(20)2×10
=400×10
=(π/3)×4000=(4000/3)π
Volume of spherical balls = 4/3πr3
=(4/3)×π×(2)2
= 32/3π
∴ Spherical balls are formed from the cones.
∴ The total volume of all spherical cones = Volume of cones.
∴ No. of spherical balls = Volume of cone/Vol of 1 spherical ball
=4000/3
=32/3
=4000/32=125
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A solid metallic cone of height 10 cm and radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?a)25b)50c)125d)75Correct answer is option 'C'. Can you explain this answer?
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