Question

External and internal radii of a lead pipe are respectively 5 cm and 4 cm. If on melting the pipe a solid right circular cylinder of same height be made, find the radius of the solid cylinder.

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Answer 1

Hi there☺

⬇SOLUTION⬇

External radius of the pipe, R = 5 cm and internal radius of the pipe, r = 4 cm

Let the height of the pipe = h cm

Volume of lead in the pipe
= pi × h (R^2 - r^2)
= pi × h (5^2 - 4^2) cm^3
= 9 pi × h cm^3

Let radius of the solid cylinder = x cm

Then, volume of solid cylinder = pi × r^2 × h
= pi × x^2 × h cm^3

Clearly, pi × x^2 × h = 9 × pi × h
or
x^2 = 9

Therefore, x = root under 9 = 3 cm

Hence radius of the solid cylinder = 3 cm

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Hope it helps ✌

Answer 2

hey

here is ur answer