Math, asked by narender2021, 4 months ago

9. The Fig. 14.36 shows the cross section of a pipe.
Calculate:
(a) the area of cross section.
(b) the volume of a 63 cm long pipe.
Please send correct answer.... ​

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Answered by Anonymous
11

Answer:

||☆》Question -:

The Fig. 14.36 shows the cross section of a pipe.

Calculate:

(a) The area of cross section.

(b) The volume of a 63 cm long pipe.

||☆》Given -:

From the figure,

We get to know

  • The radius of the bigger circle = 5 cm.
  • The radius of the smaller circle = 4 cm.

||☆》To Find -:

(a) The area of cross section.

(b) The volume of a 63 cm long pipe.

||☆》Solution -:

(a) The area of cross section.

 \implies Area of bigger circle =  \pi R^2

\rightarrow \pi 5^2

 \rightarrow 25 \pi \ cm^2

 \implies Area of smaller circle =  \pi r^2

\rightarrow \pi 4^2

 \rightarrow 16 \pi \ cm^2

 \therefore Area of cross section = Area of bigger circle - Area of smaller circle

\rightarrow 25 \pi  - 16 \pi

 \longrightarrow 9 \pi \ cm^2

(b) The volume of a 63 cm long pipe.

We know that,

Volume of a cylindrical pipe is = Length of pipe × area of crosssection or  \pi r^2 h

So,

 \ Volume \ of \ a \ 63 \ cm \ long \ pipe \\ considering \ its \ thickness =  63 × 25 \pi

 \implies  1575 \pi \ cm^3

 \ Volume \ of \ a \ 63 \ cm \ long \ pipe \ without \\ considering \ its \ thickness =  63 × 16 \pi

 \implies 1008 \pi \ cm^3

||☆》Answer -:

(a) The area of cross section = 9 \pi \ cm^2.

(b) The volume of a 63 cm long pipe

 \implies  1575 \pi \ cm^3  [ Considering its thickness ].

 \implies 1008 \pi \ cm^3 [ Without considering its thickness ].

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Answered by Tdfftion123
0

Answer:

||☆》answer for this question

HoPe iT hElPs u

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