## PLEASE HELP ME, ASAPWILL FAN AND MEDAL A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches. Use π = 3.14. What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

October 14, 2019// Blog//

Identity: sec^2(x) = 1 + tan^2(x) => tan^2(x) = sec^2 (x) – 1

sec(x) = √[37/6] => sec^2 (x) = 37/6

tan^2 (x) = 37/6 – 1 = 31/6

tan (x) = +/- √[31/6]

Given that sin (x) is negative and sec (x) is positive, we are in the fourth quadrant, so the tangent is negative, then:

tan (x) = – √[31/6] = – 2.27