Question

The external diameter of a 3 5cm long
metal pipe is 10cm if the pipe is
1cmthick and the density of the
metal u 7.8g/cm. Find the
volume of the metal used in
the pipe and the mass of the pipe.​

Answer 1

Answer:

THE ANSER IS 13728 GRAMS

Step-by-step explanation:

THE DENSITY NEEDS TO BE 7.8 G/CM CUBE BECAUSE DENSITY IS MASS PER UNIT VOLUME AS UNIT OF VOLUME IS CM CUBE WE TAKE DENSITY =7.8GRAMS/CMCUBE

Answer 2

Your Question :

The external diameter of a 35-cm-long metal pipe is 10cm. If the pipe is 1cm thick and the density of the metal is 7.8 g/cm³, find the volume of the metal used in the pipe and the mass of the pipe.

Given :

• The metal pipe is 35 cm long.
• The external diameter of the metal pipe is 10cm.
• Pipe is 1cm thick.
• The density of the metal is 7.8 g/cm³.

To Find :

• Volume of the metal used in the pipe.
• Mass of the pipe.

Solution :

Here,

• The external radius is R = 10cm/2 = 5cm
• The height (h) = 35cm
• Thickness of the pipe = 1cm.

Clearly,

✇ Internal radius = (external radius) - thickness

❒ r = R - 1 cm

ㅤㅤ⟹ 5 cm - 1 cm

ㅤㅤ⟹ 4 cm

➻ External volume of the pipe = πR²h.

➻ Internal volume of the pipe = πr²h.

So, the volume of the metal used in the pipe is (external volume of the pipe) - (internal volume of the pipe).

: ⟼ πR²h - πr²h

: ⟼ πh(R² - r²)

: ⟼ 22/7 × 35 × (5² - 4²) cm³

: ⟼ 990 cm³.

Given that the mass of 1cm³ metal is 7.8 g.

Therefore :

∴ The mass of the pipe is (mass of 990 cm³ metal) = 990 × 7.8 g = 7.722 kg.

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