the sum of the radius base and height a solid cylinder is..., Area & Volume, General Mathematics

Question:The sum of the radius of the base and the height of a solid cylinder is `37` metres. If the total surface area of the cylinder be `1628 sq.`metres, its volume is :

A `5240 m^3` 
B `4620 m^3` 
C `3180 m^3` 
D None of these

/113

+ AnswerB

+ Explanation`(h + r)` `= 37` and `2πr (h + r)`

`= 1628.`

`:. 2πr xx 37 = 1628`

or` r = (1628/(2 xx 37) xx 7/22)`

`= 7.`

`:. r = 7` m and `h = 30 m.`

:. Volume`= πr^2h`

`= (22/7 xx 7 xx 7 xx 30) m^3`

`= 4620 m^3.`

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