The radius of a cylindrical tank is 14 m. And height 20 m. Is.Find the area of curvature of the cylindrical tank.(ii) Find the total surface area of a cylindrical tank.(iii) Find the volume of a cylindrical tank.
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Answer:
radius of tank, r = 14 m
height of tank ,h= 20 m
area of curvature = Curved Surface area = 2π rh
total surface area. =2πr(r+h)
volume of cylindrical tank =πr²h
Answered by
406
Given :
- Radius of Cylinderal tank = 14cm
- Height of Cylinderal tank = 20cm
To Find :
- Area of curvature of the cylindrical tank
- Total surface area of a cylindrical tank.
- Volume of a cylindrical tank.
Solution :
(i) Curvature of Cylinderal tank
CSA of cylinder = 2πrh
CSA of cylinder = 2 × 22/7 × 14 × 20
CSA of cylinder = 44 × 2 × 20
CSA of cylinder = 88 × 20
CSA of cylinder = 1760cm²
(ii) Total surface area of cylinder
TSA of cylinder = 2πr (h + r)
TSA of cylinder = 2 × 22/7 × 14 (14 + 20)
TSA of cylinder = 44 × 2 × 34
TSA of cylinder = 88 × 34
TSA of cylinder = 2992cm²
(iii) Volume of cylinder
Volume of cylinder = πr²h
Volume of cylinder = 22/7 × 14 × 14 × 20
Volume of cylinder = 44 × 14 × 20
Volume of cylinder = 12320cm³
Therefore,
- CSA of cylinder is 1760cm²
- TSA of cylinder is 2992cm²
- Volume of cylinder is 12320cm³
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