Consider a tank with the shape of an inverted circular cone with height 10 m and base radius 4 m. Suppose the tank is filled with water to a height of 8 m. Find the work required to empty the tank by pumping all of the water to the top of the tank. The density of water is 1000 kg/m^3 and g = 9.8 m/s^2 .

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

df =

both have same length

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm