A tank in the shape of an inverted right circular cone has height 6 meters and radius 3 meters. It is filled with 2 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank

Step-by-step explanation:

Given

Radius of cone

height of cone

Chocolate is filled up to a height of

Work done to lift a body to a height h when F force is applied is  given by

An infinitesimally slice of chocolate at a height of y has a radius

Volume of slice is

This mass need to be raised to a height of 6-y which requires a work of

To empty the tank

at

they will manufacture 8496 cars

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17