instruction:
You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.
question:
A right circular cylinder vase with an inner base radius of 6 inches is filled with water to a height of 20 inches. After a smaller solid right circular cylinder with base radius of 4 inches is then completely submerged in the water, the height of water is 24 inches. What is the height, in inches, of smaller cylinder?
(A)8 (B)9 (C)10 (D)11 (E)12
answer:
B


question:
What is the area of the circle whose center is at O (2, -2) and that passes through point P (3, 3)?
(A)\(2\pi\) (B)\(6\pi\) (C)\(10\pi\) (D)\(25\pi\) (E)\(26\pi\)
answer:
E


question:
Which of the following is the distance between the points (7, 3) and (11, 0) in the xy-coordinate plane?
(A)4 (B)5 (C)6 (D)7 (E)8
answer:

B


