KPMG Past Questions And Answers


16)

If the height of a cylinder is 4 times its circumference, what is the volume of the cylinder in terms of its circumference, C?

17)

The height h of a cylinder is equal to the edge of a cube. If the cylinder and the cube have the same volume, what is the radius of the cylinder?

18)

A solid metal cube of side 3 inches is placed in a rectangular tank whose length, weight and height are 3, 4, and 5 inches, respectively. What is the volume, in cube units, of the water that the tank can now hold?


Solution
The volume of the tank is 3 × 4 × 5 = 60 cubic units, but the solid cube is taking up 33 = 27 cubit units. Therefore, the tank can hold 60- 27 = 33 cubit units of water. The answer is (C).

19)

A is the center of a circle whose radius is 10, and B is the center of a circle whose diameter is 10. If this two circle are tangent to one another, what is the area of the circle whose diameter is AB?

20)

How many sides does a polygon have if the measure of each interior angle is 8 times the degree measure of each exterior angle?