If the curved surface area of cylinder is $\displaystyle 1760\left ( \text{cm} \right )^{2}$ and its base radius is $14$ cm, then its height is

The curved surface area of a cylinder is found using the formula 2 times pi times the base radius times the height. Substituting the known values gives 1760 equals 2 times 22 over 7 times 14 times h. Simplifying the right side gives 1760 equals 88 times h. Dividing 1760 by 88 results in a height of 20 cm.

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