Maths-
General
Easy

Question

From a solid circular cylinder of 5 cm radius and 12 cm height , a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid ?

Hint:

Volume of solid cylinder equals 1 third pi r squared h

The correct answer is: 628cm3


    Explanation:
    • We have given From a solid circular cylinder of 5 cm radius and 12 cm height , a conical cavity of the same base radius and of the same height is hollowed out
    • We have to find the volume of the remaining solid.
    Step 1 of 1:
    Volume of solid 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 5 right parenthesis squared cross times 12 end cell row cell equals 300 pi end cell end table
    And the volume of the cavity 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 1 third pi r squared h end cell row cell equals 1 third cross times pi left parenthesis 5 right parenthesis squared cross times 12 end cell row cell equals 100 pi end cell end table
    Now the volume of 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 300 pi minus 100 pi end cell row cell equals 200 pi end cell row cell equals 628 cm cubed end cell end table

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