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]`

Answer 1

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.