Question

The difference between the outside and inside curved surface area of cylindrical metallic pipe 28cm long is 88cm square
.if the pipe is made of 198 cm cube of metal , find the thickness of cube

Answer 1

LetrandRbe the innerand outer radius of the cylindrical metallic pipe respectively.Height of the metallic pipe,h= 14 cmCurved surface area of the outer cylinder – Curved surface area of the inner cylinder = 44 cm2 (Given)∴ 2Rh– 2rh= 44 cm2⇒ 2(R –r) × 14 cm = 44 cm2Volume of the metal in the pipe = 99 cm3 (Given)∴R2h–r2h= 99 cm3⇒(R2–r2) × 14 cm = 99 cm3Adding (1) and (2), we getFrom (2), we haveThis, the inner and outer radius of the pipe are 2 cm andrespectively.I hope this answer is helpful to you