A solid right circular cone of same circular base radius is formed by melting a solid sphere of radius 5 cm. The height of the cone is:

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)
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  1. 20 cm
  2. 10 cm
  3. 5 cm
  4. 12 cm

Answer (Detailed Solution Below)

Option 1 : 20 cm
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Detailed Solution

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Calculations:

Volume of Sphere = 4/3 × πr3 = Volume of Cone = 1/3 × πr× h

 4/3 × πr3 = 1/3 × πr× h

since, A solid right circular cone of same circular base radius is formed by melting a solid sphere of radius 5 cm 

∴ r is same for both.

h = 4 × 53/52 = 20cm 

Hence, The Correct Answer is 20 cm.

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