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.
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