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The sum of the radius of the base and the height of a cylinder is 37 metres  .It the total surface area of the cylinder be 1628 sq. meres. Is volume is


Options:
A .  3180 `m^3`
B .  4620`m^3`
C .  5240`m^3`
D .  None of these
Answer: Option B

(h + r) = 37  and  `2pi r (h + r) = 1628`

`:.`      `2pi r xx 37 = 1628`

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

So, r = 7 m and  h = 30 m.

`:.`    Volume = `(22/7 xx 7 xx 7 xx 30) m^3` =  4620 `m^3`




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