+132 A toy consists of a cylinder of diametre 6 cm 'sandwiched' between a hemisphere and a cone of the same diameter. If the cone is of height 8cm and a cylinder is of height 10cm, what is the volume of the toy.
+9488 radius = diameter / 2
r = 6/2 = 3
volume of toy = volume of hemisphere + volume of cylinder + volume of cone
volume of toy = ( 12∗43∗π∗r3 ) + ( π∗r2∗cylinder height ) + ( 13∗π∗r2∗cone height )
volume of toy = ( 12∗43∗π∗33 ) + ( π∗32∗10 ) + ( 13∗π∗32∗8 )
volume of toy = ( 12∗43∗π∗27 ) + ( π∗9∗10 ) + ( 13∗π∗9∗8 )
volume of toy = ( 18π ) + ( 90π ) + ( 24π )
volume of toy = 132π cubic centimeters ≈ 414.69 cubic cm
