A hollow garden roller 63cm wide with a girth of 440cm

A hollow garden roller 63cm wide with a girth of 440cm
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A hollow garden roller, 63cm wide with a girth of 440cm, is made of 4cm thick iron. Find the volume of the iron.
  

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Right Answer is:

SOLUTION



Outer circumference of roller = 440 cm
Outer radius (R) = C2π=440×72×22=70cm
Thickness of iron = 4 cm
Inner radius (r) = 70-4 = 66 cm
Volume of iron used = πh(R2r2)
= 227×63[(70)2cm3]
= 198 (70+66)(70-66) cm3
= 198×136×4=107712cm3