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Volume and Surface Area of Solid Figures

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  1. The base radius and height of a cone are doubled. The ratio of the new volume to original volume is ?
    1. 8 : 7
    2. 8 : 3
    3. 8 : 1
    4. 8 : 5
Correct Option: C

Let original radius = r and height = h
Original volume = (1/3)πr2h
New radius = 2r and new height = 2h
∴ New volume = 1/3 x π(2r)2 x 2h = 8/3πr2h
Required ratio = 8/3πr2h : 1/3πr2h = 8 : 1


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