The difference between outside and inside surfaces
of a cylindrical metalic pipe 14 cm long is 44 cm.
If the pipe is made of 99 cu. сm of metals. Find
the outer and inner radii of the pipe.
Answers
Answer:
Step-by-step explanation:MARK BRAINLIEST
r= inner radius
R= outer radius
h= height of the metallic pipe = 14 cm
Difference between the Curved surface area of the outer cylinder and Curved surface area of the inner cylinder = 2πRh - 2πrh.
Given:
difference between the outside and inside curved surface area of cylinder= 44 cm2 .
so,
2πh( R - r) = 44
2 x 22/ 7 x 14 ( R - r) = 44
R - r = 1 / 2
= 0.5
Given:
the pipe is made up of metal= 99 cm³
Volume of cylindrical metallic pipe = πR²h - πr²h.
so,
22/7 x 14 (R² - r²) = 99
44(R² - r²) = 99
(R² - r²) = 9 / 4
R²-r²= 2.25
( R - r)(R + r) = 2.25
(0.5)(R + r) = 2.25
R + r = 2.25 / 0.5
R + r = 4.5
Adding up both the values we get
2R = 4.5 + 0.5 = 5
R = 2.5 cm and r = 2 cm
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