Question

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.

Answer 1

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 = 2π(0.49) + 2π(0.42)
A = 0.98π + 0.84π
A = 1.82π

Therefore, the exact surface area of the cylinder is 1.82π square meters.