A container at the petting zoo holds 8138.88 cubic centimeters of grain. Visitors can fill paper cones with grain from the container. The cones have a radius of 4 centimeters and a height of 9 centimeters. How many times can you fill a cone with the grain that is stored in the container? Use 3.14 to approximate the value of Pi.

  54

Step-by-step explanation:

The volume of the cone is given by the formula ...

  V = (1/3)πr²h

so the volume of the paper cone is ...

  V = (1/3)(3.14)(4 cm)²(9 cm) = 150.72 cm³

The volume of the grain container is ...

  8133.88/150.72 = 54

times that of the cone.

You can fill a cone 54 times with the grain stored in the container.

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.