An wooden toy is 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.(use π=22/7)
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Volume of the toy = 205.33 cu.cm
Step-by-step explanation:
Height of cylinder = 10cm
Radius of cylinder = 3.5 cm
Volume of cylinder = πr²h----------------(1)
Radius of hemisphere = 3.5cm
2 * Volume of hemisphere = 2 *2/3πr³ --------------(2)
Volume of the toy = πr²h - 4/3πr³
= πr²(h-4r/3)
= 22/7 * 3.5 * 3.5 (10 - 4(3.5)/3)
= 22 * 0.5 * 3.5 * 16 /3
= 205.33 cu.cm
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