A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 2 cm and the diameter of the base is 4 cm. Determine the volume of the toy. If a right circular cylinder circumscribes the toy, find the difference of the volumes of the cylinder and the toy.

Explanation

Volume of toy=volume of cone+volume of hemisphere

=>`1/3pir^2h+2/3pir^3`

given h=2cm and r=2cm

substituting values we get=>`1/3xx22/7xx4xx2+2/3xx22/7xx8`

=>`25.12(cm)^3`

if the toy is covered by a cylinder=>volume of cylinder=`pir^2h`

where r=2cm and h=4cm.

Volume of cylinder=>`22/7xx4xx4=50.26(cm)^2`

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