A wooden article was made by scooping out a hemisphere from one end of a cylinder and a come from other end .If the height of cylinder is 40cm, radius is 7cm and height of come is 24cm,find the volume of wooden article.
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Volume of the cylinder is 3696 cm^3
Lateral height of cone = \sqrt{7^2 + 24^2 } =25cm
Surface Area of Article = CSA of Cylinder + CSA of Cone + CSA of Cone
= 2\pi (7)(40)+ \pi (7)(25) + 2 \pi (7)^2
=2618 sq cm
Volume of article = Volume of cylinder - [Volume of cone + volume of hemisphere]
= \pi (7)^2 (40) - [ (1/3) \pi (7)^2 (24) + (2/3) \pi (7)^3 ]
= 12628/3 cm^3
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