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प्रश्न
A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, then find the volume of wood in the toy.
उत्तर
We have,
Radius of the cylinder = Radius of the hemispher = r = 3.5 cm and
Height of the cylinder, h = 10 cm
Now,
Volume of the toy = Volume of the cylinder - Volume of the two hemispheres
`= pi"r"^2"h"-2xx2/3pi"r"^3`
`=pi"r"^2("h" - (4"r")/3)`
`= 22/7xx3.5xx3.5xx(10-(4xx3.5)/(3))`
`=38.5xx(10-14/3)`
`=38.5xx16/3`
`=616/3 "cm"^3`
≈ 205.33 cm3
So, the volume of wood in the toy is `616/3` cm3 or 205.33 cm3
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