If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe
A. 120cm3 B. 110cm3 C. 60cm3 D. 50cm3
Correct Answer: B
Explanation
The volume of the pipe is equal to the area of the cross section and length. let outer and inner radii be R and r respectively. Area of the cross section = (R2 - r2) where R = 6 and r = 6 - 1 = 5cm Area of the cross section = (62 - 52) = (36 - 25)cm sq vol. of the pipe = (R2 - r2)L where length (L) = 10 volume = 11 x 10 = 110cm3