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Question

A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick . he volume of he iron used is  :


Options:
A .  54982`cm^3`
B .  56372 `cm^3`
C .  57636 `cm^3`
D .  58752 `cm^3`
Answer: Option D

Circumference of the  girth = 440 cm.

`:.`  `  2 pi R = 440`

`rArr     R = (440 xx 1/2 xx 7/22)` = 70 cm.

So, outer radius = 70 cm . Inner radius  = (70 - 4) cm = 66 cm.

Volume of iron =  `pi [(70)^2 - (66)^2] xx 63`

=`(22/7 xx 136 xx 4 xx 63) cm^3`

= 58752 `cm^3`




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