Answer in Brief

Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal conical hole have been made from its both ends. If the diameter of the holes is 6 cm and height 4 cm, find (i) volume of the cylinder, (ii) volume of one conical hole, (iii) volume of the remaining solid.

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#### Solution

Height = 10 cm.

Radius

` = 8/2`

`=4 cm.`

(*i*) Volume of cylinder

`=pir^2h`

`= pi xx (4)^2 xx 10`

= \[160\pi {cm}^3\]

(*ii*) Volume of conical hole diameter of

cone = 6 cm.

radius `=6/2`

`=3 cm.`

height = 4 cm.

volume `=1/3 pi (7) h`

`=1/3 pi .9.4`

`= 12 pi cm^3`

(*iii*) Volume of remaining solid

`=160 pi - 2 xx (12pi)`

`=160pi - 24 pi`

= \[136\pi {cm}^3\]

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