Question

the outer diameter of a metallic cylindrical tube is 14 cm and thickness of the tube is 1 cm and the weight of 2 metre long to if the density of the metal is 7 gram per centimetre cube​

Answer 1

★ CORRECT QUESTION :

The outer diameter of a metallic tube is 14 cm and thickness of the tube is 1 cm. Find the weight of 2 m long tube if the density of metal is 7gm / cm³.

GIVEN :

• The outer diameter of a metallic cylindrical tube is 14 cm.

• Thickness of the metallic cylindrical tube = 1 cm.

TO FIND :

• The weight of 2 m long tube if the density of the metal is given 7gm / cm³ = ?

STEP - BY - STEP EXPLAINATION :

→ The outer diameter of a metallic cylindrical tube = 14 cm. ( GIVEN )

→ Thickness of of the metallic cylindrical tube = 1 cm. ( GIVEN )

→ Thickness = 1 cm ( GIVEN )

Now if the density of metal is 7gm / cm³ , Find the weight of tube.

→ Outer diameter of the tube = 14 cm

→ Therefore, outer radius of the tube (R) = 7 cm

→ Thickness of the tube = 1 cm

=> Inner radius of the tube ( r ) = 7 - 1 = 6 cm

=> Length of the tube ( h ) = 2m = 200 cm

=> Density of the metal = 7 gm / cm ³

We have to find the weight of the tube, Now

We know that –

→ Weight of the tube = Volume of the metal in the tube × Density of the metal

→ Volume of the metal in tube

= πR²h - πr²h

= π (R² - r² )h

$= > \frac{22}{7} ( {7}^{2} - {6}^{2} ) \times 200$

$= > \frac{22}{7} \times 13 \times {200 \: cm \: }^{3}$

$= > \frac{22}{7} \times 13 \times 200 \times 7 \: gm \: = 57200 \: gm \:$

Therefore , Weight of the tube = 57, 200 gm.

Answer 2

Answer:

this is the correct answer of this question