Calculate the work (in joules) required to pump all of the water out of a full tank. The density of water is 1000 kilograms per cubic meter. Assume the tank

(a) is shaped like an inverted cone of radius 5 meters and height 10 meters where the spout is connected to a 2 meter tube extending vertically above the tank.

(b) is shaped like a horizontal cylinder of radius R and height H where the spout is connected directly to the top of the tank.

answer: the value of x is 7cm

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form