Q55

Question:

If the radius of a sphere is halved, by what fraction does its volume decrease?

यदि गोले की त्रिज्या आधी हो जाए, तो आयतन कितने भाग से घटेगा?

Options:

  • a) ½
  • b) ¾
  • c) ⅞
  • d) ⅔
  • a) ½
  • b) ¾
  • c) ⅞
  • d) ⅔

correct answer : c)

Explanation:

V=4/3πr³. New V=4/3π(r/2)³=V/8. Decrease=7V/8 = ⅞ of original.

नया V=V/8। घटाव=7/8 =⅞।

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