Problem
Chords AB and CD intersect each other at E inside the circle. AE = 8 cm, CE = 12 cm, and DE = 20 cm. If AB is the diameter of the circle, compute the area of AEC.
Situation
An open cylindrical vessel 1.3 m in diameter and 2.1 m high is 2/3 full of water. If rotated about the vertical axis at a constant angular speed of 90 rpm,
1. Determine how high is the paraboloid formed of the water surface.
A. 1.26 m
C. 2.46 m
B. 1.91 m
D. 1.35 m
2. Determine the amount of water that will be spilled out.
A. 140 L
C. 341 L
B. 152 L
D. 146 L
3. What should have been the least height of the vessel so that no water is spilled out?