Final answer:
The curved surface area of a cylinder with a radius of 1.4 cm and height of 5.2 cm is calculated using the formula CSA = 2πrh, which gives us an area of 45.6 cm².
Step-by-step explanation:
To calculate the curved surface area of a cylinder, we will use the formula which is the product of the circumference of the base circle and the height of the cylinder. In mathematical terms, the curved surface area (CSA) of a cylinder with radius r and height h is given by CSA = 2πρh.
Given a cylinder with radius 1.4 cm and height 5.2 cm, we can plug these values into the formula:
CSA = 2π(1.4 cm)(5.2 cm)
= 2χ7.28 cm
= 45.6 cm²
Therefore, the curved surface area of the cylinder is 45.6 cm².