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Question
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, find the volume of wood in the toy. `[\text{Use}pi 22/7]`
Solution
Height of the cylinder, h = 10 cm
Radius of the cylinder = Radius of each hemisphere = r = 3.5 cm
Volume of wood in the toy = Volume of the cylinder − 2 × Volume of each hemisphere
`=pir^2h-2xx2/3pir^2`
`=22/7xx(3.5cm)^2xx10cm-4/3xx22/7xx(3.5cm)^3`
`=385cm^3-539/3cm^3`
`=616/3cm^3`
`=205.33cm^3`(Approx)
Thus, the volume of the wood in the toy is approximately 205.33 cm3.
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