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Question
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.
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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