Question

a copper pipe 35cm long has an outer and inner radius 6cm and 5cm , respectively . find the weight of the pipe if the copper weights 10g per cm cube (3)​

Answer 1

Solution :

Given :

• Outer radius of the copper pipe R = 6 cm
• Inner radius of the coper pipe r = 5 cm
• Length of the copper pipe h = 35 cm

Volume of the copper pipe = Volume of outer copper pipe - Volume of inner copper pipe

= πR²h - πr²h

= πh(R² - r²)

Now substituting values

= 22/7 * 35 ( 6² - 5² )

= 22 * 5 (36 - 25)

= 110 * 11

= 1210 cm³

Therefore volume of the copper pipe is 1210 cm³

Given :

Weight of 1 cm³ = 10 g

Weight of pipe of volume 1210 cm³ = 10 * 1210 = 12100 g

Hence, weight of the pipe is 12100 g.