Question

A solid iron rectangular block of dimensions 2.2 m, 1.3 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe

Answer 1

Step-by-step explanation:

ANSWER

Volume of block =220×120×100 c.m

3

=2640000 cm

3

Let height of hollow cylinder =h

⇒ Volume =πR

2

h−πr

2

h

r=35,R=40

⇒ Volume =πh[40

2

−35

2

]

=πh[75][5]

⇒πh×75×5=2640000

⇒

7

22

×h×375=220×12000

h=

375

70×12000

=2240 cm

=22.4 m.