Question

A cylindrical metal pipe has the length of 10m. Its inner radius is 55cm and the pipe is

2cm thick. Find the volume of the metal used in the pipe.
( answer this question in cubic m )​

Answer 1

Answer:

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Answer 2

Answer:

Given:

$\sf{ \dag \: length \: of \: cylinder = 10m = 1000cm}$

$\sf{ \dag { inner \: radius \: = 55cm}}$

$\sf{ \dag{thickness \: of \: pipe = 2cm}}$

To Find :

$\frak{ \star \: {volume \: of \: metal \: used \: in \: pipe}}$

Solution :

$\boxed{ \boxed{ \red{volume \: of \: cylinder = \pi \: {r}^{2}h }}}$

Inner volume of cylinder :

$\implies \: 3.14 \times 55 \times 55 \times 1000 \\ \implies \: 9498500 {cm}^{3}$

Total volume of cylinder :

$\implies \: 3.14 \times 57 \times 57 \times 1000 \\ \implies \: 10201860 {cm}^{3}$

$\mathfrak{\boxed{volume\;of\;metal=Total\;volume\;-\;inner\;volume}}$

$\sf{\dag{volume\;of\;metal=10201860-9498500=703360{cm}^{3}}}$

$\sf{\star\;{703360{cm}^{3}=0.70336{m}^{3}}}$