From a solid cylinder whose height is 8 cm and radius 6 cm , a conical cavity of height 8 cm and of base radius 6 cm is hollowed out. find the volume of height of the remaining solid. Also, find the total surface area of the remaining solid. [Take π = 3.14.]
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Volume of the solid cylinder = 3.14 × 62 × 8
= 3.14 × 36 × 8
= 904.32
Volume of the conical cavity =
=
= 3.14 × 12 × 8
= 301.44
Volume of resulting solid = Volume of cylinder - Volume of conical cavity.
= 904.32 − 301.44
= 602.88
∴ The volume of height and total surface of the remaining solid is 602.88.
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