Question

26
16. What length of solid cylinder 2 cm in diameter must
be taken to be cast into a hollow cylinder of external
diameter 12 cm, 0.25 cm thick, 15 cm long?​

Answer 1

Answer:

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Step-by-step explanation:

Given diameter of solid cylinder is 2 cm.

Radius of solid cylinder, r=1 cm.

Volume of solid cylinder is πr

2

h

=π×1

2

×h=πh→(1)

Length of hollow cylinder, H=15 cm

External diameter =20 cm

External radius =10 cm

Thickness =0.25 cm

Internal radius =10–0.25=9.75 cm

Volume of hollow cylinder =π[10

2

–(9.75)

2

]×15

=15π×19.75×0.25→(2)

From (1) and (2), we get

πh=15π×19.75×0.25

Hence, h=15×19.75×0.25=74.06 cm