Question

The curved surface area of the a cylinder is 2π{ y^2-7y+12} and its radius is (y-3). Find the height of the cylinder

Answer 1

Curved surface area = 2π × radius × height
Height =
$\frac{2\pi( {y}^{2} - 7y + 12) }{2\pi(y - 3)} \\ = \frac{(y - 3)(y - 4)}{(y - 3)} = (y - 4)$