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To find the diameter of the base of the cylinder, we need to use the formula for the curved surface area of a cylinder, which is given by:
Curved Surface Area = 2πrh
where r is the radius of the base and h is the height of the cylinder.
In this case, the curved surface area is given as 88 sq. cm, and the height is 14 cm. We can rearrange the formula to solve for the radius:
Curved Surface Area = 2πrh
88 = 2πr(14)
88 = 28πrDividing both sides of the equation by 28π gives:
88 / (28π) = r
Now we can calculate the radius:
r ≈ 0.314 cm
Finally, to find the diameter, we can multiply the radius by 2:
Diameter = 2r ≈ 2 * 0.314 cm
Diameter ≈ 0.628 cm
Therefore, the diameter of the base of the cylinder is approximately 0.628 cm.