The external and internal diameter of a cylindrical copper pipe are 12 cm and 10 cm and the length of the pipe is 15cm find the volume and total surface area of pipe
Answers
Answer:
The volume of the pipe = 518.43 cm³
Surface area of the pipe = 1105.984 cm²
Step-by-step explanation:
The Volume of a cylinder = πr²h
In this case, the cylinder is hollow but has a thickness.
Therefore, the base area is given by:
(3.142 × 6²) - (3.142 × 5²) = 34.562 cm²
Volume = 34.562 cm² × 15 cm = 518.43 cm³
The Surface area of the cylinder
The cylinder is hollow, so we will get the area of the curved surfaces (the inner curved surface and the outer curved surface) plus the area of the boundary between the inner and outer circle.
Curved surface area = 2πrh
= ( 3.142 × 12 × 15) + ( 3.142 × 10 × 15) = 1036.86 cm²
Area of the boundary:
(3.142 × 6²) - (3.142 × 5²) = 34.562 cm²
We have 2 boundaries therefore we multiply by 2:
2 × 34.562 = 69.124 cm²
The total surface area = 69.124 cm² + 1036.86 cm² = 1105.984 cm²
Answer:
Plzaek
Step-by-step explanation:
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