Question

the volume of 1 cm thick and 21 cm long pipe is 1650cm^3 .find its inner and outer radius​

Answer 1

Answer:

Thickness : 1cm

Length of pipe (h) : 21cm

Since the thickness is 1 cm, hence the overall radius of the pipe will be (x+1)cm -> r {Assume the inner radius x}

Volume of the pipe = 1650 cm cube

Also, Volume of a cylinder is : πr^2h

Therefore,

$\pi r {}^{2} h = 1650cm {}^{3}$

Solve it:

22/7 × (x+1)^2 × 21 = 1650

(x + 1)^2 = 1650 × 1/21 × 7/22

(x+1) = √525 × 1/21

(x + 1) = √25

x = 5-1

x = 4cm

ANSWER > Inner Radius is 4 cm

Outer Radius is (4+1) = 5cm

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