Question

$\huge\sf\fbox\purple{ Question }$

°° The external diameter of a 35-cm-long metal pipe is 10 cm. If the pipe is 1 cm thick and the density of the metal is 7.8 g/cm^3, find the volume of the metal used in the pipe and the mass of the pipe.°°


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Answer 1

The external diameter of metal pipe=10cm

external radius of metal pipe=(R)diameter/2=10/2=5cm

the metal pipe is 35 cm long.

that is height of metal pipe=(h) =35 cm

thickness=1 cm

inner diameter=outer diameter-thickness=10cm-1cm=9cm

inner radius=(r)=9cm/2=4.5cm

volume of metal pipe=outer volume - inner volume

=πh[R²-r²]

=22/7×35[(5)²-(4.5)²]

=22×5[25-20.25]

=110×4.75=522.5cm³

density of a metal=7.8g/cm³

density=mass/volume

mass=density×volume=7.8g/cm³×522.5cm³=4075.5g

therefore volume of the metal is 522.5cm³ & mass of the pipe is 4075.5g/4.07 kg.

Answer 2

Answer:

answer in the attached picture

Explanation:

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