A cone has a volume of 144π in3 and a diameter of 12 in. Wilson states that a cylinder with the same height and diameter has the same volume. Which statement explains whether or not Wilson is correct?
A cylinder in which h = 12 and d = 12 has a volume of 144π in3; therefore, Wilson is correct.
A cylinder in which h = 4 and d = 12 has a volume of 144π in3; therefore, Wilson is correct.
A cylinder in which h = 12 and d = 12 has a volume of 432π in3; therefore, Wilson is incorrect.
A cylinder in which h = 4 and d = 12 has a volume of 432π in3; therefore, Wilson is incorrect.

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Four congruent circular holes with a diameter of 2 in. were punches out of a piece of paper. what is the area of the paper that is left ? use 3.14 for pi

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?