Final answer:
a) The external surface area of the pipe can be found by subtracting the surface area of the inner curved surface from the surface area of the outer curved surface. b) The internal curved surface area of the pipe can be found using the formula A=2πrh. c) The internal volume of the pipe can be found using the formula V=πr^2h. d) The external volume of the pipe can be found using the same formula V=πr^2h, with the radius equal to the sum of the internal radius and the thickness.
Step-by-step explanation:
a) To find the external surface area of the pipe, we need to calculate the surface area of the outer curved surface. The external surface area can be obtained by subtracting the surface area of the inner curved surface from the surface area of the outer curved surface.
The formula for the surface area of a cylinder is given by A=2πrh+2πr^2, where r is the radius and h is the height. In this case, the radius of the outer curved surface is given by the sum of the internal radius and the thickness, i.e. 9 cm + 0.5 cm = 9.5 cm. So, the external surface area is A = 2π(9.5 cm)(12 m) + 2π(9.5 cm)^2.
b) To find the internal curved surface area of the pipe, we can use the formula A=2πrh, where r is the radius and h is the height. In this case, the radius of the inner curved surface is given by the internal radius, i.e. 9 cm. So, the internal curved surface area is A = 2π(9 cm)(12 m).
c) To find the internal volume of the pipe, we can use the formula V=πr^2h, where r is the radius and h is the height. In this case, the radius of the inner curved surface is given by the internal radius, i.e. 9 cm. So, the internal volume is V = π(9 cm)^2(12 m).
d) To find the external volume of the pipe, we can use the same formula V=πr^2h, but this time the radius is given by the sum of the internal radius and the thickness, i.e. 9 cm + 0.5 cm = 9.5 cm. So, the external volume is V = π(9.5 cm)^2(12 m).