400 ml of paint is required to paint the surface of a solid sphere. If the sphere is sliced into 4 identical pieces, how much paint will be required to paint all the surfaces of these 4 pieces?

400 ml of paint is required to paint the surface of a solid sphere. If the sphere is sliced into 4 identical pieces, how much paint will be required to paint all the surfaces of these 4 pieces? Correct Answer 800 ml

Calculation:

Surface area of sphere = 4πr²

After cutting total area will be area of curved surfaces and the area of plane surfaces,

There will be 4 plane circular surfaces,

So, total area = 4πr² + 4 × πr² = 8πr²

Paint required = 2 × 400 = 800 ml

∴ 800 ml paint will be required.