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14. Find the volume of a cylinder with the following dimensions. (i) Radius of the base = 14 cm and height = 36 cm(ii) Radius of the base = 21 cm and height = 1.5 m(ii) Diameter of the base = 7 m and height = 5 m |
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Answer» :-Volume of cylinder = πr²hAnswer 1 :-Given :Radius of the BASE = 14 cmHeight = 36 cmSolution :- ⇒Volume of cylinder = πr²h⇒Volume = 22/7 × (14)² × 36⇒Volume = 22/7 × 14 × 14 × 36⇒Volume = 22 × 2 × 14 × 36⇒Volume = 44 × 504⇒Volume of cylinder = 22176cm³________________Answer 2 :-Given :Radius of the base = 21 cm Height = 1.5m = 150cmSolution :- ⇒Volume of cylinder = πr²h⇒Volume = 22/7 × (21)² × 150⇒Volume = 22/7 × 21 × 21 × 150⇒Volume = 22 × 3 × 21 × 150⇒Volume = 66 × 3150⇒Volume of cylinder = 207900cm³________________Answer 3 :-Given :Diameter of base = 7m Radius = Diameter/2 = 3.5mHeight = 5mSolution :- ⇒Volume of cylinder = πr²h⇒Volume = 22/7 × (3.5)² × 5⇒Volume = 22/7 × 3.5 × 3.5 × 5⇒Volume = 22/7 × 12.25 × 5⇒Volume = 22 × 12.25 × 5 /7⇒Volume = 1347.5/7⇒Volume of cylinder = 192.5m³________________ |
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