Question

inner diameter of a wooden cylinder pipe is 24 cm and its outer diameter is 28 CM if the length of the pipe is 35 cm find the mass of the pipe if one centimetre cube of wood with 10 gram​

Answer 1

SOLUTION:-

Given:

⚫Inner diameter of wooden cylinder pipe= 24cm

So, Inner radius (r1)= 24/2

=) 12cm

⚫Outer diameter of wooden cylinder pipe= 28cm

So, Outer radius(r2)= 28/2

=)14cm

⚫The length of the pipe= 35cm.

Therefore,

Using Formula of cylindrical volume:

Volume of cylindrical wooden pipe;

=)π(r²2 - r²1)h

=)π(14² - 12²)× 35

=)π(14+12)(14-2)×35 [a² - b²= (a+b)(a-b)]

=)π× 26× 2 × 35

=) 22/7× 26× 2× 35

=) 22× 26 × 2× 5

=) 5720cm³

Therefore,

1cm³ of wooden pipe has a mass= 10g

So,

5720cm³ of wood have mass;

=) (10×5720)gram

=) 57200gram

If we can convert in kg:

1kg = 1000g

1g= 1/1000 gram

=) 57200/1000kg

=) 57.2kg

Hope it helps ☺️