Question

the length of a metallic tube is 1m, it's thickness is 1cm and it's inner diameter is 12cm. Find the weight of the tube if the density of the metal is 7.7 gram per cube centimetre.​

Answer 1

Step-by-step explanation:

Length = 1 m = 100 cm

Inner diameter = 12 cm

Radius = 6 cm

Now, inner volume=πr2h=227×6×6×100=11314.286 cm3

Thickness = 1 cm

Total radius = 7 cm

Now, we have the following:

Total volume=πr2h=227×7×7×100=15400 cm3

Volume of the tube =total volume−inner volume= 15400−11314.286=4085.714 cm3

Density of the tube = 7.7 g/cm3

∴ Weight of the tube =volume×density=4085.714×7.7=31459.9978 g=31.459 kg

Answer 2

$\large\underline\pink{Given:-}$

• the length of a metallic tube is 1m, it's thickness is 1cm and it's inner diameter is 12cm.
• The density of the metal is 7.7 gram per cube centimetre.

$\large\underline\pink{To find:-}$

• Find the weight of the tube ....?

$\large\underline\pink{Solutions:-}$

• Length = 1m = 100cm
• Inner diameter = 12cm
• Radius = 6cm

Now, Inner volume = πr²h

= 22/7 × 6 × 6 × 100

= 22/7 × 36 × 100

= 22/7 × 3600

= 79200/7

= 11314.286cm³

Thickness = 1cm

Total radius = πr²h

= 22/7 × 7 × 7 × 100

= 22 × 7 × 100

= 154 × 100

= 15400cm³

Volume of the tube = total volume - inner volume

= 15400 - 11314.286

= 4085 cm³

Density of the to tube = 7.7 g/cm³

weight of the tube = volume × density

= 4085.714 × 7.7

= 31459.9978g

= 31.459kg

hence, the weight of the tube is 31.459kg.