QUESTION : The curved surface area of a cylinder is 2π ( y² - 7y + 12) and its radius is (y-3) . Find the height of the cylinder.
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radius of cylinder=y-3
curved surface area of a cylinder=2π ( y² - 7y + 12)
2πrh=2π ( y² - 7y + 12)
(y-3)h=( y² - 7y + 12)
h=( y² - 7y + 12)/(y-3)
h= y²-4y-3y+12/y-3
h=y(y-4)-3(y-4)/y-3
h=(y-3)(y-4)/(y-3)
h=(y-4)
So, height=y-4
curved surface area of a cylinder=2π ( y² - 7y + 12)
2πrh=2π ( y² - 7y + 12)
(y-3)h=( y² - 7y + 12)
h=( y² - 7y + 12)/(y-3)
h= y²-4y-3y+12/y-3
h=y(y-4)-3(y-4)/y-3
h=(y-3)(y-4)/(y-3)
h=(y-4)
So, height=y-4
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