The external diameter of an iron pipe is 20 cm audits length is 12 cm. If the thickness of the pipe is 1 cm. find the surface area of the pipe (take π = $\frac{22}{7}$) correct to two places of decimal. |
1,662.67 cm2 1,552.57 cm2 1,442.48 cm2 1,772.76 cm2 |
1,552.57 cm2 |
We know that, Curved surface of a cylinder = 2πrh Area of a circle = πR2 We have, The external diameter of an iron pipe = 20 cm Length = 12 cm. Thickness = 1 cm. External radius of the iron pipe, R = \(\frac{20}{2}\) = 10 cm Internal radius of the iron pipe, r = 10 - 1 = 9 cm Height, h = 12 cm According to the concept = Total surface area of the pipe = Outside surface area + inside surface area + Top Base Area + bottom base area 2πRh + 2πrh + π(R2−r2) + π(R2−r2) = 2πh(R + r) + 2π(R2−r2) = 2π {12 × (10 + 9) + (102 - 92)} = 1,552.57 cm2 |