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Manita Raina posted an Question
February 16, 2021 • 16:53 pm 10 points
  • IIT JAM
  • Biotechnology (BT)

If the radius and height of a cone are both increased by 100%, then its volume is increased by

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    Ruby negi best-answer

    if for a cone, radius and height are increased by 100%, then we can say that if original radius was R and height was H, then: new radius = 2R and new height = 2H. Now, volume (V) of a cone is given by the formula: V = 1/3* π*(radius)^2 * (height) So, in 1st case, V1 = 1/3* π* (R)^2 * (H) while in 2nd case V2 = 1/3* π* (2R)^2 * (2H) Hence, V2 = 8*[1/3* π* (R)^2 * (H)] Hence, V2 = 8*(V1) Thus, when radius and height of a cone are increased by 100%, volume becomes 8 times which is same as saying volume increases by 700%

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