Question

√∛·↓↓⇒What is 10 to the 6th poCommunity
Ruthwik3949
02.06.2020
Math
Secondary School
answered • expert verified
The outer and inner diameter of a hollow cylindrical pipe are 10 cm and 6 CM. If its length be 21 cm find the total curved surface and volume of the pipe

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MrInvisible
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✑ Gɪᴠᴇɴ :-
Outer Radius (R) = 10 cm
Inner Radius (r) = 6 cm
Height (h) = 21 cm
✑ ᴛᴏ ғɪɴᴅ :-
Total Surface Area (TSA)
Volume
✑ sᴏʟᴜᴛɪᴏɴ :-
We know that,

➦ Volume of hollow cylinder =

↣ (external volume ) - ( Internal volume)

↣ πR²h - πr²h

↣ πh (R² - r²)

Put the above given values in it, we get,

↣ 22/7 × 21 (10² - 6²)

↣ 22 × 3 (100 - 36)

↣ 22 × 3 × 64

↣ 4,224 cm³

Now,.

We know that,

➦ Total surface area of hollow cylinder =

↣(curved surface area)+(area of base rings)

↣ {(2πRh + 2πrh) + 2(πR² - πr²)}

↣ {(2πh (R + r) + 2π(R² - r²)}

↣ {2πh(R + r) + 2π( R + r) (R - r)}

↣ 2π(R + r) ( h + R - r)

Put the above given values in it, we get

↣ 2 × 22/7 ( 10 + 6)(21 + 10 - 6)

↣ 44/7 × 16 × (31 - 6)

↣ 44/7 × 16 × 25

↣ 17600/7

↣ 2514.28 cm²

Hence,

Total surface area = 2514.28 cm²
Volume = 4224 cm³wer?

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