. A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing ona hemisphere of radius 60 cm


is placed upright in a right circular cylinder full of watersuch that it touches the bottom. Find the volume of water left in the cylinder, if the radiusof the cylinder is 60 cm and its height is 180 cm

 

Best Answer

Solution:Radius (r) of hemispherical part = Radius (r) of conical part = 60 cm

Height (h2) of conical part of solid = 120 cm

Height (h1) of cylinder = 180 cm

Radius (r) of cylinder = 60 cm

Volume of water left = Volume of cylinder - Volume of solid

= Volume of cylinder – (Volume of cone + Volume of hemisphere)

solid consisting of a right circular

= 1131428.57 cm3

= 1.131 m3

 

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