CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The volume of a cylinder of radius r is 1/4 of the volume of a rectangular box with a square base of side length x. If the cylinder and the box have equal heights, what is r in terms of x ?

(a) x22π   (b) x2π

(c) 2xx   (d) π2x



    Solution

    The correct option is

    Let r be the radius and h be the height, then volume = πr2 h

    This volume is 14 of the volume of a

    rectangular box

    Volume of box = 4πr2 h

    Let side of base of box = x and height h

    then volume = x2 h

    4πr2h=x2h

    4πr2=x2r2=x24π

    x24π=x2π

    hence the correct answer is (b) x2π


    Mathematics
    RD Sharma
    Standard IX

    Suggest Corrections
    thumbs-up
     
    1


    similar_icon
    Similar questions
    View More


    similar_icon
    Same exercise questions
    View More


    similar_icon
    People also searched for
    View More



    footer-image