Question

The difference between outside and inside surfaces of a cylindrical metallic pipe 14 cm long is 44 CM square if the pipe is made of 88 cm cube of metal find inner and Outer radii of the pipe

Answer 1

Let inner radius of pipe is r and outer radius of pipe is R .

then volume of pipe = π(R² - r²)L
88 = 22/7 × (R² - r²) × 14
88 = 44(R² - r²)
R² - r² = 2 ........(1)

area of pipe = 2π(R - r)L
44 = 2 × 22/7 × (R - r) × 14
R - r = 0.5 ......(2)

from equation (1) and (2),

R + r = 4 .....(3)

R = 2.25 cm and r = 1.75 cm

Answer 2

HEY MATE !

HERE'S YOUR ANSWER ✌️✌️✌️✌️

r= inner radius 

R= outer radius 

h= height of the metallic pipe = 14 cm

Difference between the Curved surface area of the outer cylinder and Curved surface area of the inner cylinder  = 2πRh - 2πrh.

Given: 

difference between the outside and inside curved surface area of cylinder= 44 cm2 .

So, 

2πh( R - r) = 44

2 x 22/ 7 x 14 ( R - r) = 44

R - r = 1 / 2 

= 0.5

Given:

the pipe is made up of metal= 88 cm³

Volume of cylindrical metallic pipe = πR²h - πr²h.

So, 

22/7 x 14 (R² - r²) = 88

44 (R² - r²) = 88

(R² - r²) = 88 / 44

(R² - r²) = 2