Acone with height h and radius r has volume v = 13πr^2h. if the cone has a height of 6 in. and volume v = 8πx^2 + 24πx + 18π, what is its radius r in terms of x?

ANSWER

EXPLANATION

The volume of the cone is

The height of the is 6 inches.

We put the values into the volume of cone to get.

Divide through by 2π.

The expression on the LHS is a perfect square trinomial.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.