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There is a cuboidal hollow tank …

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There is a cuboidal hollow tank and a cylindrical tank is fitted inside it such that it touches all the vertical faces of cube. A cone is inside the cylinder. If the height of the cube ,cylinder and cone is same with the same base, what will be the ratio of their volumes. Explain your answer with support of the suitable diagram.

    • Posted by Likhita Ayusha 5 years, 8 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 8 months ago

    Assume that the length of all edges of the cube=x units
    Formula for volume of cube=x³ cube unit
    Due an occurrence that the cylinder is within the cube &it touches all the vertices faces of the cube.
    Therefore radius of the base of the cylinder & cone & height of cylinder of a cone=x
    Volume of the cylinder=π×{x/2}²×x=22/7×x³/4
    11/14x³ cube unit
    Volume of cone should be=1/3π{x/2)²×x=11/42 cubic unit
    Required ratio=volume of cube:volume of cylinder:volume of cone
    =x³:11/14x³:11/42x³=42:33:11

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