a hollow garden roller 63 cm wide with a girth of 440..., Area & Volume, General Mathematics

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

A `57636 cm^3` 
B `54982 cm^3` 
C `56372 cm^3` 
D `58752 cm^3`

/113

+ AnswerD

+ ExplanationCircumference of the girth` = 440 cm.`

`:. 2πR = 440 ⇒ R`

`= (440 xx 1/2xx 7/22)`

`= 70 cm.`

:. Outer radius` = 70 cm.` Inner radius 

`= (70 - 4) cm = 66 cm.`

Volume of iron

`= π [(70)^2 - (66)^2] xx 63`

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

`= 58752 cm^3.`

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