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If the curved surface area of a cylinder is 1760 cm² and its base radius is 14 cm, then findthe height of cylinder.

Question

If the curved surface area of a cylinder is 1760 cm² and its base radius is 14 cm, then findthe height of cylinder.

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Solution

The curved surface area (CSA) of a cylinder is given by the formula 2πrh, where r is the radius and h is the height.

In this case, the CSA is given as 1760 cm² and the radius r is 14 cm. We can substitute these values into the formula and solve for h.

So, 1760 = 2π * 14 * h.

To isolate h, we divide both sides of the equation by 2π * 14.

Therefore, h = 1760 / (2π * 14).

Calculating the above expression, we find that the height h of the cylinder is approximately 20 cm.

This problem has been solved

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