Maths-
General
Easy

Question

From a solid wooden cylinder of 25 cm height and 6 cm diameter , two conical cavities are hollowed out , The diameters of the cones are also of 6 cm and the height is 10.5 cm, Find the volume of the remaining solid ?

Hint:

Volume of solid cylinder equals 1 third pi r squared h

The correct answer is: 508.93


    Explanation:
    • We have given From a solid wooden cylinder of 25 cm height and 6 cm diameter , two conical cavities are hollowed out , The diameters of the cones are also of 6 cm and the height is 10.5 cm
    • We have to find the volume of the remaining solid.
    Step 1 of 1:
    Volume of the cylinder is
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell V equals pi r squared h end cell row cell equals pi left parenthesis 3 right parenthesis squared cross times 25 end cell row cell equals 225 pi end cell end table
    Volume of both cone will be
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell V equals 2 cross times 1 third pi r squared h end cell row cell equals 2 cross times 1 third pi left parenthesis 3 right parenthesis squared cross times 10.5 end cell row cell equals 63 pi end cell end table
    Volume of the remaining solid will be
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals 225 pi minus 63 pi end cell row cell equals 162 pi end cell row cell equals 508.93 cm cubed end cell end table

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