3. The inner diameter of circular pipe is 7.0 cmn it is 12cm long. Find out inner C.S.A and also find out
its volume
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Solution
Given :-
- Diameter of circular pipe = 7 cm
- Length of circular pipe = 12 cm
Find :-
- Inner C.S.A.
- Volume of circular pipe
Explanation
Using Formula
★ C.S.A. of circular pipe = 2πrh
★ Volume of circular pipe = π × d²/4 × h
So, First Calculate,
==> C.S.A. of circular pipe = 2πrh
where,
- π = 22/7
- r = 7/2 = 3.5 cm
- h = 12 cm
So,
==>C.S.A. of circular pipe = 2 × 22/7 × 3.5 × 12
==>C.S.A. of circular pipe = 2 × 22 × 0.5 × 12
==>C.S.A. of circular pipe = 44 × 6.0
==>C.S.A. of circular pipe = 264 cm² .
Now, Calculate
==> Volume of circular pipe = π × d²/4 × h
where,
- d = 7 cm
- h = 12 cm
keep all above Values
==> Volume of circular pipe = 22/7 × 7²/4 × 12
==> Volume of circular pipe = 22 × 7/4 × 12
==> Volume of circular pipe = 22 × 7 × 3
==> Volume of circular pipe = 231 × 3
==> Volume of circular pipe = 693 cm³
Hence
- C.S.A. of circular pipe = 264 cm² .
- Volume of circular pipe = 693 cm³
___________________
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