If the height of a cylinder is 4 times its circumference, what is the volume of the cylinder in terms of its circumference, C?
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?
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?
A. 20
B. 27
C. 33
D. 48
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).
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?
A. 30pi
B. 56.2pi
C. 100pi
D. 225pi
E. 400pi
How many sides does a polygon have if the measure of each interior angle is 8 times the degree measure of each exterior angle?
A. 18
B. 20
C. 22
D. 25
E. 30