A hollow cylinder pipe is 21 decimeter long. Its outer and inner diameters are 10 cm and 6 cm respectively. Find the volume of the copper used in making the pipe .
Answers
Answered by
2
Given,
Height = 21 dm
Dm=210 cm
Outer radius = 5 cm (R)
Inner radius = 3 cm (r)
so, volume = πR^2h - πr^2h
= πh (R^2 - r^2)
= ( 22/7) * 210 * ( 25 - 9)
= (22/7) * 210 * 16
= 10560
Hence, the volume of the copper used in making the pipe is 10560 cm^3
Answered by
4
Given :
- A hollow cylinder pipe is 21 decimeter long.
- Its outer and inner diameters are 10 cm and 6 cm respectively.
To find :
- The volume of the copper used in making the pipe =?
Step-by-step explanation:
Let r1 and r2 be the inner and outer radii of the pipe.
∴ Inner radius (r1) = 6/2 cm = 3 cm
And, outer radius (r2) = 10/2 cm = 5 cm
We have length (h) of the cylinder pipe = 21 dm = 210 cm
∴ Volume of copper used in making the pipe = πh(r2² - r1¹) [Volume of hollow cylinder]
= 22/7 x 210 x[(5)² - (3)²] cm³
= 22 x 30 x ( 25 - 9) cm³
= 22 x 30 x 16 cm³
= 10560 cm³
Therefore, 10560 cm³ copper used in making the pipe.
Similar questions