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If the volume for 3-D polyhedra A is 200 cm3 and the volume for 3-D polyhedral B is 800 cm3, how many times bigger is the volume of pyramid B than pyramid A?


0.4%

4%

40%

400%

Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter whole numbers in the answer blank). Numerical Answers Expected


Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)


The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 360 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? Use 3.14 for pi. (Hint: only enter numerals in the answer )


Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?


3cm3

6cm3

9cm3

12cm3


Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.


C = 5π; A = 20π

C = 10π; A = 20π

C = 10π; A = 25π

C = 5π; A = 25π


1.A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the floor and 32 inches high. Sketch and find the equation describing the shape of the door. If you are 22 inches tall, how far must you stand from the edge of the door to keep from hitting your head?
(c) Show that for all values of θ the determinant















1 sin θ 1

− sin θ 1 sin θ

−1 − sin θ 1















lies between 2 and 4 inclusive. State one value of θ for which the determinant has the

value 2, and one for which it has the value 4.
) If z1 = 1 + 2i, find the set of values of z2 for which

(i) |z1 + z2| = |z1| + |z2| (ii) |z1 + z2| = |z1| − |z2|
(b) Find the asymptotes of the hyperbola

x

2 − y

2 + 2x + y + 9 = 0.
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