iven:
For cone:
height = 12 cm
radius = 6 cm
For hemisphere:
radius = 6 cm
For cylinder:
radius = 6 cm
height = 18 cm
\sf{Find:}Find:
Volume of the water displaced by the cylinder.
\sf{Solution:}Solution:
Volume of water displaced by cylinder = Volume of cylinder - (Volume of circular cone + Volume of hemisphere)
=> πr²h - (1/3πr²h + 2/3πr³)
=> 22/7 × (6)² × 18 - [1/3 × 22/7 × (6)² × 12 + 2/3 × 22/7 × (6)³]
=> 22/7 × 36 [(18) - (1/3 × 12) + (2/3 × 6)]
=> 22/7 × 36 [18 - (4 + 4)]
=> 22/7 × 36 (18 - 8)
=> 22/7 × 36 (10)
=> 22/7 × 360
=> 1131.428 cm³
•°• 1131.428 cm³ of the water displaced by the cylinder. find the question with diagram
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Answer :-)
641.67 `cm^(3)`
Solution : Radius of spere =6cm <> Volume of sphere=`(4)/(3)pi(6^(3))=288pi cm^(3)` <> Let radius of cone =r <> Height of cone =6cm <> Volume of cone `=(1)/(3)pir^(2)h=(1)/(3)pir^(2)xx6=2pir^(2)` <> Given that, volume of cone = volume of sphere <> `2pir^(2)=288 pi` <> `r^(2)=144` <r> r=12 <> Therefore radius of cone =12 cm
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