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Math Help - its a question on Areas and Volumes

  1. #1
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    its a question on Areas and Volumes

    Q. A right circular cylinder is inside a cube and is touching all it's vertical sides.
    there is a right circular cone inside the cylinder. If there base and height is same.then find the ratio of the volumes of all the three?
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  2. #2
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    If one side of a cube has length s, its volume is s^3.

    If a cylinder has height h and base radius r, its volume is \pi r^2h.

    If a cone has height h and base radius r, its volume is \frac{1}{3}\pi r^2 h.

    Since the cylinder just fits inside the cube, h= s and r= (1/2)s.

    Since the cone just fits inside the cylinder, it also has h= s and r= (1/2)s.
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