Question

The external radius of a 14-cm-long metallic pipe is 9 cm, and the pipe is 1 cm thick. Find
the volume of the metal used in the pipe. If the mass of 1 cm metal is 8.5 g, find the mass
of the pipe.​

Answer 1

Answer:

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Answer 2

Volume = 778 cm² ; Mass = 6.613 kg

Step-by-step explanation:

External Radius of metallic pipe : 14 cm

Internal Radius of metallic pipe : External Radius - Thickness of Pipe

: 14 - 1

: 13 cm

Height of metallic pipe : 9 cm

Case - 1

Volume of metallic pipe : VOLUME OF EXTERNAL PART - VOLUME OF INTERNAL PART

: πR²h - πr²h

: πh (R² - r²)

: 22/7 × 9 (14² - 13²)

: 22/7 × 9 (196 - 169)

: 22/7 × 9 × 27

: 778 cm²

Case - 2

Mass of 1 cm² metal = 8.5 g

Mass of 778 cm² metal = (778 × 8.5)g

= 6613 g

= 6.613 kg