Laura was asked to estimate the volume of dirt in a large hill outside her school. She decides to model the hill using a truncated cone. She estimates that the hill has a base diameter of 80 feet, a top diameter of 40 feet, and a helght of 24 feet. What is the approximate volume of dirt in the hill?

The approximate volume of dirt in the hill = 70372 ft³

Step-by-step explanation:

From the given information:

Laura uses a model of a truncated cone to estimate the volume of the dirt.

This implies that the volume of the dirt in the large hill took the shape of a truncated cone.

Her estimate then includes:

a base diameter = 80 feet ; then the base raidus (R) = 80 feet/2 = 40 feet

a top diameter  = 40 feet ; then the top radius (r) =  40 feet/2 = 20 feet

a helght = 24 feet.

Using the formula for the volume of a truncated cone :

V = 70371.675 ft³

V ≅ 70372 ft³

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4