SOLUTION: The volume of a can that is 4in tall is given by the equation {{{V=4(pi)r^2}}} where r is the radius of the can, measured in inches. Part A. Solve the equation for r. Please do

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The volume of a can that is 4in tall is given by the equation {{{V=4(pi)r^2}}} where r is the radius of the can, measured in inches. Part A. Solve the equation for r. Please do       Log On


   

Question 331428: The volume of a can that is 4in tall is given by the equation V=4%28pi%29r%5E2 where r is the radius of the can, measured in inches.
Part A. Solve the equation for r. Please do not rationalize the denominator
Part B. Using the equation produced from your work in part A, determine the radius of a can with volume of 12.56in^3. use 3.14 for n
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a can that is 4in tall is given by the equation V=4%28pi%29r%5E2
where r is the radius of the can, measured in inches.
:
Part A. Solve the equation for r. Please do not rationalize the denominator.
4%28pi%29r%5E2 = V
Divide both sides by 4pi
r^2 = V%2F%28%284%2Api%29%29
:
r = sqrt%28V%2F%284%2Api%29%29
:
:
Part B. Using the equation produced from your work in part A,
determine the radius of a can with volume of 12.56in^3. use 3.14 for pi
r = sqrt%2812.56%2F%284%2A3.14%29%29
:
r = sqrt%2812.56%2F%2812.56%29%29
r = 1