How much paint is needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 50 m?

To calculate the amount of paint needed, first find the surface area of the hemispherical dome, which is given by the formula (2\pi r^2). The radius (r) is half the diameter, so (r = 25) m. The surface area is (2\pi(25^2) = 1250\pi \approx 3927) m². To find the volume of paint required for a thickness of 0.03 cm (0.0003 m), multiply the surface area by the thickness: (3927 \times 0.0003 \approx 1.18) m³ of paint is needed.