Pipe A and pipe B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill it, then the time in which A and B will fill that cistern separately will be, respectively, __________ .

If (a³ + b³ + c³ - 3abc) = 405, and (a - b)² + (b - c)² + (c -a)² = 54, find the value of (a + b + c).

What is the surface area (in cm²) of a spherical sculpture whose radius is 35 cm? (Take π = $\frac{22}{7}$)

Pipe A can fill 50% of the tank in 6 hours and pipe B can completely fill the same tank in 18 hours. If both the pipes are opened at the same time, in how much time (in minutes) will the empty tank be completely filled?