Question

The inner diameter of a wooden cylindrical pipe is 24cm. outer diameter is 28cm. lenghth of pipe is 35cm. find mass of pipe if 1cm cube of wood weighs 3grams.

Answer 1

Hi there!

♦ For Outer Cylinder :

Radius, R = D/2 = 28/2 = 14 cm
Height = 35 cm

♦ For Inner Cylinder :

Radius, r = d/2 = 24/2 = 12 cm
Height = 35 cm

Now,
Volume of pipe = Vol. of Outer - Vol. of Inner Cylinder

= πR²h - πr²h

= πh ( R² - r² )

= 22/7 × 35 [ 14² - 12² ]

= 5720 cm³

Now, it's Given :
1 cm³ Volume = 0.6 g

Thus,
Mass of 5720 cm³ volume = 5720 × 0.6 g

= 3. 432 kg

[ Thank you! for asking the question. ]
Hope it helps!