Multiple Choice Questions on Three rectangles R1 R2 and R3 have the same area Their lengths x1 x2 and x3 respectively are such th........... for CDS Exam Preparation

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Multiple Choice Questions

Three rectangles R1 R2 and R3 have the same area Their lengths x1 x2 and x3 respectively are such th...........

Quantitative Aptitude (CDS) Mensuration 3D
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    Three rectangles R1, R2 and R3 have the same area. Their lengths x1, x2 and x3 respectively are such that x1 < x2 < x3. If V1, V2 and V3 are the volumes of the cylinders formed from the rectangles R1, R2 and R3 respectively by joining the parallel sides along the breadth, then which one of the following is correct?

    V3 < V2 < V1

    Incorrect Answer

    V1 < V3 < V2

    Incorrect Answer

    V1 < V2 < V3

    Correct Answer

    V3 < V1 < V2

    Incorrect Answer
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    Explanation:

    Let y1,y2 and y3 be the breadths of the rectangles R1,R2 and R3 , respectively.Suppose the area of the rectangles be A.
    ∴x1×y1=A⇒y1=A/x1

    x2×y2=A⇒y2=A/x2

    x3×y3=A⇒y3=A/x3

    Let r1,r2 and r3 be the radius of the cylinders formed from the rectangles by joining the parallel sides along the breadth.

    ∴r1=x1/2π,r2=x2/2π and r3=x3/2π

    By: Munesh Kumari
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