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The diameter of the base of a cylinder is 1.4 m. The height of the cylinder is 0.6 m. Find the exact surface area of the cylinder.
The formula for the surface area of a cylinder is:
A = 2πr² + 2πrh
where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the base is 1.4 m, the radius (r) is half of the diameter, so:
r = 0.7 m
Given that the height (h) is 0.6 m, we can plug these values into the formula:
A = 2π(0.7)² + 2π(0.7)(0.6)
A = 2Ï€(0.49) + 2Ï€(0.42)
A = 0.98Ï€ + 0.84Ï€
A = 1.82Ï€
Therefore, the exact surface area of the cylinder is 1.82Ï€ square meters.