Cut a sector of angle θ from a circular piece of a paper of radius 5 and join points a and b to make a cone. what is the maximum volume v of the cone? what angle θ gives the maximum volume? numerical exploration can you identify the approximate angle that appears to maximize the volume of the cone? (round your answer to two decimal places.) θ ≈ 50 incorrect: your answer is incorrect. what is the maximum volume? (round your answer to three decimal places.) v = 20 incorrect: your answer is incorrect. does this angle also maximize the surface area of the cone? yes no correct: your answer is correct. if we change the radius of the circular piece of paper, do you think that will affect the angle that gives the largest cone volume? this answer has not been graded yet. analytical solution what is the maximum volume v of the cone? v = incorrect: your answer is incorrect. what angle θ gives the maximum volume? θ =