A large traffic cone stands 28 inches in height and has a volume of 732.7 cubic inches. What is the diameter of the base of the cone? Use 3.14 for pi. Show your work

Step-by-step explanation:

Given That:

Height=h=28 inches

Volume=V=732.7 cubic inches

Required:

Diameter of the base of the cone=d=?

Solution:

the formula for the volume of a cone is

re-arranging the terms to get the radius (r)

putting values, we get

to find the diameter we know that diameter is double of the radius so

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.